Study Materials. 3.3.2588) of the point of intersection (0. It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. sin 75° = cos (15° + 75° ) = cos 90° = 0 [since cos (A + B) = cos A. sinθ = cos(π 2 − θ) cosθ = sin(π 2 − θ) tanθ = cot(π 2 − θ) cotθ = tan(π 2 − θ) secθ = csc(π 2 − θ) cscθ = sec(π 2 − θ) Notice that the formulas in the table may also justified algebraically using the sum and difference formulas. View Solution. Step 5. Lets explore few ways Value of sin 15 degrees Method 1 ( using sin 30) Advertisement Solution | cos 15 ∘ sin 15 ∘ sin 75 ∘ cos 75 ∘ | = cos 15 ∘ cos 75 ∘ − sin 15 ∘ sin 75 ∘ = cos ( 15 ∘ + 75 ∘) [ ∵ cos A cos B − sin A sin B = cos ( A + B)] = cos 90 ∘ = 0 ⇒ | cos 15 ∘ sin 15 ∘ sin 75 ∘ cos 75 ∘ | = 0\] Concept: Applications of Determinants and Matrices Is there an error in this question or solution? Q 43 Q 42 Q 44 cos(15)cos(75)+sin(15)sin(75)= (please show work) This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Using the trigonometric identity, cos 90° = 0 Formula used : (i) cos(A + B) = cos A cos B - sin A sin B. Split into two angles where the values of the six trigonometric functions are known. The cos of 75 degrees equals the x-coordinate (0.1. BUT we don't know sine and cosine of #75^@#. The sin of 75 degrees equals the y-coordinate (0.cos a Trig table --> sin 45 = sqrt2/2 and cos 30 = sqrt3/2 sin 30 = 1/2, and cos 45 = sqrt2/2 There for: sin (45 - 30) = sin 15 = (sqrt2/2)(sqrt3/2) - (sqrt2/2)(1/2) = = sqrt2/4(sqrt3 - 1) $\cos 105° + \sin 75°= \cos 105° +\cos 15°= \cos(60+45)+\cos (60-45)$ Check from the above given formulas, and you should get the same answer. The value of Δ = ∣ ∣ ∣ cos 15 ∘ sin 15 ∘ sin 75 ∘ cos 75 ∘ ∣ ∣ ∣ is Express each of the following as a product (i) sin 75° - sin 35° (ii) cos 65° + cos 15° (iii) sin 50° + sin 40° asked Sep 17, 2020 in Trigonometry by RamanKumar ( 51. Tap for more steps 1 4 - 1 4 Combine fractions. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan)..1. Trigonometry . Tap for more steps Simplify the numerator. The exact value of cos(45) cos ( 45) is √2 2 2 2. You may get its approx. 150∘ = 5 × 30∘ and sin150∘ = 1 2 and cos150∘ = − √3 2. cos 15° = cos ( 45° - 30° ) = cos 45 cos 30 + sin 45 sin 30.3, 5 Find the value of: sin 75° sin 75° = sin (45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = 𝟏/√𝟐 × √𝟑/𝟐 + 𝟏/√𝟐 × 𝟏/𝟐 = 1/√2 (√3/2 " + " 1/2) = (√𝟑 + 𝟏)/ (𝟐√𝟐) Next: Ex 3.1. Tentukan nilai dari soal-soal berikut.027 soediV & setoN tpecnoC . Share on Whatsapp Stay updated with the Mathematics questions & answers with Testbook. Sudut A dan sudut B Nilai dari sin 255 adalah . Tap for more steps Step 1. Serial order wise. Diketahui cos A=5/3 dan cos B=13/12. Write the given expression as a single trigonometric function. . cos(15∘)cos(75∘)−sin(15∘)sin(75∘) Find its exact value. For example, with a few substitutions, we can derive the sum-to-product identity for sine. Jika diketahui x+y=270 maka .sin b cos (25 + 15) = cos (40) = cos 25. NCERT Solutions For Class 12. . View Solution. 也可以 jika mendapat soal seperti ini maka penyelesaiannya adalah disini terdapat soal nilai dari sin 75 derajat cos 15 derajat adalah kita bisa menggunakan rumus untuk 2 Sin a cos B bentuknya akan menjadi a + b + Sin a kurang bSelanjutnya kita lihat pada soal bentuk soal ini adalah hanya Sin a cos b maka dapat kita ubah bentuknya menjadi setengah Sin a + b + dengan setengah Sin A min b. The exact value of is . Iklan. 참고로 sinx = cos (90-x)입니다. The exact value of sin(75) is √2 + √6 4.1. So, sin45 + sin15 = √2 + √2 − √3 2.1. sin (-345") sin(-15) For the following exercises, prove the identity. Persamaan Trigonometri. Step 1. The arc 40^@ doesn't have exact functional value. 1.9659) of the point of intersection (0. So. Solve your math problems using our free math solver with step-by-step solutions. TRIGONOMETRI Kelas 11 SMA.965. Table 7. Trig table -->. 8 C. Let u + v 2 = α and u − v 2 = β. 3. View Solution. sin195∘ = sin(45∘ +150∘) = sin45∘cos150∘ + cos45∘sin150∘ Trigonometry Examples.cos a Trig table --> sin 45 = sqrt2/2 and cos 30 = sqrt3/2 sin 30 = 1/2, and cos 45 = sqrt2/2 There for: sin (45 - 30) = sin 15 = (sqrt2/2)(sqrt3/2) - (sqrt2/2)(1/2) = = sqrt2/4(sqrt3 - 1). Answer link.2. It the its is is 50 cm² and altitude. ∴ sin 15° = (√3−1)/2√2. Evaluate ∣∣ ∣cos15∘ sin15∘ sin75∘ cos75∘∣∣ ∣. 421 2 2 silver badges 14 14 bronze badges $\endgroup$ Trang chủ.3. Follow answered Jun 16, 2021 at 13:46. = sin(45°)cos(30°) - cos(45°)sin(30°) Recall the two Special Triangles: 45°-45°-90° and 30°-60°-90°. The problem becomes unnecessarily longer and that's why we used an angle of 15. Rumus Jumlah dan Selisih Sudut di sini hanya adalah 75 dan bedanya adalah 15 baik maka dari itu langsung saja saya tulis ulang dulu soalnya di sini cos 75 derajat dikali cos 15 derajat dikurangdengan Sin 75 derajat dikali dengan Sin 15 derajat maka dari itu kita punya di sini adalah cos $\sin 15^{\circ}=\dfrac{\sqrt{6}-\sqrt{2}}{4}$ $\cos 15 sin15度とcos15度は三角形の相似に着目して計算することができます。 tan15度は直角三角形と角の二等分線定理を使って図形的に計算できます。 cos 15° . Tap for more steps 1 sin (75)cos (15) Algebra Pre Calculus Calculus Functions Linear Algebra Trigonometry Statistics Physics Finance Economics Go Examples Related Symbolab blog posts High School Math Solutions - Trigonometry Calculator, Trig Equations In a previous post, we learned about trig evaluation. cos 75° is equivalent to (√3 - 1)/2√2.4 sin (3x) cos (4. cos 75° - sin 15° . please join our mailing list to be notified when this and other topics are added. . 7 B. b. Step 2.2588) of the point of intersection (0. sin 75 cos 15 – cos 75 sin 15 = = sin(75 – 15) = sin 60 = 1/2 √3. Sin 75⁰ cos 15⁰ Rumus yang kita gunakan yaitu : 2 sinA cos B = sin(A+B) + sin(A-B) Sehingga, Sin 75⁰ cos 15⁰ = ½ (sin(75+15) + sin(75-15) = ½ (sin 90 + sin 60) = ½ (1 + ½*akar(3)) = ½ + ¼*akar(3) Jadi, sin 75° cos 15° = ½ + ¼*akar(3) b.3, 5 (ii) → Ask a doubt. Aplica la suma de la razón de los ángulos . Method 1 Use: #cos (alpha-beta) = cos (alpha)cos (beta)-sin (alpha)sin (beta)# So: #cos 75^@ cos 15^@ + sin 75^@ sin 15^@ = cos (75^@ - 15^@) = cos … O A cos 75° cos 15º - sin 75° sin 15º = cos (75° -15°) cos 60° B. Time Tables 20. So by applying the above formula we get, sin 75 ∘ = sin 45 ∘ cos 30 ∘ + cos 45 ∘ sin 30 ∘. Step 5. JEE Main 2024 Test Series Here is an example of using a sum identity: Find #sin15^@#. Medium View solution > i. Q 5. As we know that, cos x cos y - sin x sin y = cos (x + y) ∴ cos 75° cos 15° - sin 75° sin 15° = cos (75° + 15°) = cos 90°. Baca pembahasan lengkapnya dengan daftar atau masuk akun Ruangguru.9659, 0.c) = 2 sin (72) - 2 sin 6 cos(8x) sin(2) 34.cosB+sinB. Sin ½ (75-15). cos B - sinA .0k points) trigonometry Trigonometri Contoh. Prove that the given identity is true. MCQ Online Mock Tests 22. As, sin 45 ∘ = 1 2, cos 30 ∘ = 3 2 The sum-to-product formulas allow us to express sums of sine or cosine as products.2. Using the trigonometric identity, cos 90° = 0 Formula used : (i) cos(A + B) = cos A cos B - sin A sin B. The value of (cos 75 ∘ − cos 15 ∘) 2 + (sin 75 ∘ − sin 15 ∘) 2 is Q. Divide en dos ángulos donde se conozcan los valores de las seis funciones trigonométricas. Nilai dari = sin 75°-sin 15°/ cos 75° + cos 15°. − √2 + √3 2 = 1. Toán. Tap for more steps 0 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. To find the value of sin 75 degrees using the unit circle: Rotate 'r' anticlockwise to form a 75° angle with the positive x-axis. $$ Then I got $$ (\sqrt{3}-2) \sin(15^°) = \cos(15^°). Given trigonometric ratio: sin 75 ∘. Prove that sin10+sin 30+sin 50+sin 70 =root3÷16. The exact value of is .3. cos 75° cos 15" - sin 75°sin 15sin (750 - 159) sin 60° OC, cos 75° cos 15° - sin 75 sin 15ºcos (75° + 15) cos … Using fundamental theorem of determinant, ∣ ∣ ∣ cos 15 o sin 15 o sin 75 o cos 75 o ∣ ∣ ∣ = cos 15 o cos 75 o − sin 15 0 sin 75 o = cos (75 o + 15 o) = cos 90 o = 0, [using sum to product formula] Упростить sin(15)cos(75)+cos(15)sin(75) Step 1. El valor exacto de es . Step 6.2588 (approx) It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. see below cos 15^@=cos(45^@-30^@) =cos45^@cos30^@+sin45^@sin30^@ =sqrt2/2* sqrt3/2+sqrt2/2 *1/2 =sqrt6/4+sqrt2/4 =(sqrt6+sqrt2)/4 How do you use the sum and difference identities to find the exact value of cos 75? How do you evaluate #sin(45)cos(15)+cos(45)sin(15)#? How do you write … cos (A + B) = cos A cos B – sin A sin B. The value of cos15∘ cos30∘ cos45∘ cos60∘ cos75∘ sin10∘sin30∘sin50∘sin70∘ is. You can put this solution on YOUR website! Sin 75°+cos 75° ~~~~~ sin(75°) + cos(75°) = (use cos(75°) = sin(90°-75°) = sin(15°) ) = sin(75°) + sin(15 For the following exercises, evaluate the product for the following using a sum or difference of two functions. Ketuk untuk lebih banyak langkah Penjawab soal matematika gratis menjawab soal pekerjaan rumah aljabar, geometri, trigonometri, kalkulus, dan statistik dengan penjelasan langkah-demi-langkah, seperti sin 15 = (sqrt2/4)(sqrt3 - 1) Use trig identity: sin (a - b) = sin a. $$ Stack Exchange Network Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Q 5.2588 (approx) Simplify sin(75)cos(15)+cos(75)sin(15) Step 1. The sin of 15 degrees equals the y-coordinate (0. sin75 = sin(45 + 30) = sin45cos30 + sin30cos45 = √2 2 ⋅ √3 2 + 1 2 ⋅ √2 2 Ans: 0. Pada persoalan kali ini kita akan menentukan nilai dari sin 75 + Sin x 15 kemudian dibagi 105 ditambah cosinus 15 derajat hingga rumus yang akan kita gunakan adalah rumus penjumlahan sinus dan penjumlahan cosinus pertama penjumlahan sinus di mana sinus a hasilnya akan sama dengan 2 dikali minus dari setengah a. Rumus Jumlah dan Selisih Sinus, Cosinus, Tangent.766 Use the trig identity: cos (a + b) = cos a,cos b - sin a. Tap for more steps (√2 + √6)(√6 + √2) 16 Expand (√2 + √6)(√6 + √2) using the FOIL Method. Simplify each term. Split into two angles where the values of the six trigonometric functions are known. 6. 1-ti a tan cos(-6) 1+tan a tan 33.2588) of unit circle and r. Kita gunakan rumus selisih cos ( α - β ) = cos α cos β + sin α sin β. trigonometry. tan720 ∘−cos270 ∘−sin150 ∘cos120 ∘= 41 ii. Tap for more steps Step 1.3em] sin 15^\circ & cos 15^\circ \\[0.1.So this won't get us the answer. − √3 2 = 2cos2(75) − 1.2k points) trigonometric functions sin15°の求め方の解説です。 $\sin 15^{\circ}$ 求め方1 $15^{\circ}$と$75^{\circ}$の三角形ABCにおいてACを$a$とおく。 Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ . Calculation: Given: sin 15° sin 75° Hence, the value of sin 15° sin 75° is \(\dfrac 14 \) Download Solution PDF.1. Ex 3. sin780 ∘sin480 ∘+cos120 ∘sin150 ∘= 21 which of the above statements are true. Step 5. 입니다. Tap for more steps 1 4 - 1 4 Combine fractions. Perkalian Sinus dan Cosinus Dari rumus jumlah dan selisih dua sudut, dapat diperoleh rumus sebagai berikut. Answer link. sin B] ← Prev Question Next Question →.∘ 51 nis ∘51nis fo eulav tcaxe eht dniF . = 1/2 √2 .1. Textbook Solutions 13653. Apply the sum of angles identity.

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4 În trei luni la teatrul ,,Luceafărul" s-au realizat 54 728 de bilete. #sin(A-B)=sinAcosB-cosAsinB# We might notice that #75-60=15# so #sin15^@=sin(75^@-60^@)=sin75^@cos60^@-cos75^@sin60^@#. Ketuk untuk lebih banyak langkah √2 + √6 4 + √6 - √2 4. see below cos 15^@=cos(45^@-30^@) =cos45^@cos30^@+sin45^@sin30^@ =sqrt2/2* sqrt3/2+sqrt2/2 *1/2 =sqrt6/4+sqrt2/4 =(sqrt6+sqrt2)/4 How do you use the sum and difference identities to find the exact value of cos 75? How do you evaluate #sin(45)cos(15)+cos(45)sin(15)#? cos (A + B) = cos A cos B - sin A sin B. Stay updated with the Mathematics questions & answers with Testbook.6 petS . Nilai dari cos 75 cos 15-sin 75 sin 15 adalah . Click here:point_up_2:to get an answer to your question :writing_hand:find the value of sin 75 circ. 즉 합이 90도가 되는 두 각도의 사인값과 코사인 값은 각각 같다는 이야기죠. sin 75 ∘ can be expressed as, sin 75 ∘ = sin ( 45 ∘ + 30 ∘) We know that sin ( A + B) = sin A cos B + cos A sin B. Prove that cos 105° + cos 15° = sin 75° − sin 15°. Apply the difference of angles identity. Check by calculator: sin 285 = - 0. To find the value of sin 15 degrees using the unit circle: Rotate ‘r’ anticlockwise to form a 15° angle with the positive x-axis. El valor exacto de es . 1/2. Tap for more steps 1 4 - 1 4 Combine fractions. 30 +165 -- I don't recognize 165∘ as a multiple of a special angle.2.cosA 基本性質 [編輯] 在直角坐標系平面上f(x)＝sin(x)和f(x)＝cos(x)函數的圖像. The sin of 15 degrees equals the y-coordinate (0. Penyelesaian: 2 sin 75 sin 15 = cos (75 - 15) - cos (75 + 15) = cos 60 - cos 90 = 0,5 - 0 = 0,5 Jadi nilai x = 0,5.. 또한 위처럼 15도, 75도 등을 구하려면 삼각함수의 덧셈정리를 쓰면 됩니다. sin45 = sin90 2 = √1 − cos90 2 = √1 2 = √2 2. trigonometry. Separate negation. . 3 cos 105⁰ cos 15⁰ Rumus yang digunakan yaitu : 2 cos A cos B = cos(A+B) + cos(A-B) Sehingga Another way to solve the Example 2 is to note that 15° = 90° - 75° and then to apply the formulas for the complementary angle and to use results of the Example 1: cos(15°) = sin(75°) = , sin(15°) = cos(75°) = , tan(15°) = cot(75°) = 1/tan(75°) = . Xem lời giải. Tap for more steps Step 1. Hence the value of cos 75° = x = 0.sin b #cos (75) = cos (30 + 45) = cos 30*cos 45 - sin 30*sin 45 =# = #(sqrt3/2)(sqrt2/2) - (1/2)(sqrt2/2) = (sqrt6-sqrt2)/4# Answer link. If we can find (think of) two angles #A# and #B# whose sum or whose difference is 15, and whose sine and cosine we know. Sederhanakan suku-suku. View Solution. value by calculator.9659 (approx) Here, we have to find the value of cos 75° cos 15° - sin 75° sin 15°. Split 75 75 into two angles where the values of the six trigonometric functions are known. . With that many in mind, let's start with the two most used: the sine addition formula and the cos addition formula: sin(α + β) = sin(α)cos(β) + cos(α)sin(β) cos(α + β) = cos(α)cos(β) - sin(α)sin(β) We see that both of the above angle sum formulas decompose the function of α + β (which can, a priori, be a difficult angle to work Note: we can also convert $\sin 15$ into $\cos 75$. sin(75)cos(15) + cos(75)sin(15) Sederhanakan setiap suku.2. Use integers or fractions for any numbers in the expression. OR. O A cos 75° cos 15º - sin 75° sin 15º = cos (75° -15°) cos 60° B. Replace A by 15° and B by 75°.3em] \end{vmatrix}\) On expanding the above, ⇒ {cos 15°} {cos 15°} - {sin 15°} {sin 15°} On applying formula cos(A + B) = cos A cos B - sin A sin B = cos (15 + 15) = cos (30°) Jawab: Penjelasan dengan langkah-langkah: soal1. If we can find (think of) two angles #A# and #B# whose sum or whose difference is 15, and whose sine and cosine we know. sin 30 sin 15 - cos 30 cos 15 Jika diketahui bahwa cos 1/2 theta=akar ( (x+1)/2x), operas Tentukan nilai dari sin 105+sin 15. Step 1. Show transcribed image text. . Yah, akses pembahasan gratismu habis. cos(75) = ± √2 − √3 2. cos 75° - sin 15° . But in that case the multiple angle formula gives us the $\sin \left( 75\times 2 \right)=\sin 150$ instead of $\sin 30=\dfrac{1}{2}$. Our math solver supports basic … sin(x + y) = sinxcosy +cosxsiny. Rewrite given expression as a sum or difference, then simplify if possible. Find the Exact Value sin(75)cos(15) Step 1. JEE Main 2024 Test Series Here is an example of using a sum identity: Find #sin15^@#.esruoC gnitekraM latigiD esruoC tsylanA ssenisuB . asked May 18, 2021 in Trigonometry by Wafa ( 37. În prima lună s-au realizat 21 936 bilete, iar în a doua lună de 3 ori mai puţ … The cofunction identities are summarized in Table 7. We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0.2588, 0. Concept Notes & Videos 386 Syllabus. = 1/4 ( √6 + √2 ) Demikianlah contoh-contoh soal trigonometri dan pembahasannya.1. 45 +150 -- I note that 150 is divisible by 30, so I should know the sine and cosine of 150∘.3em] sin 15^\circ & cos 15^\circ \\[0. . The exact value of is . Limits. Similar Questions. z=\frac 1 i(m\pi+\frac\pi 4)=-i\frac{(4m+1)\pi }4 Now, the difference of two consecutive values of iz is Click a picture with our app and get instant verified solutions. Explanation: The expression you provided, (cos 45°)(cos 30°) − (sin 45°)(sin 30°), can be rewritten using the identity of the How do you use the sum and difference identities to find the exact value of cos 75? How do you evaluate #sin(45)cos(15)+cos(45)sin(15)#? How do you write #cos75cos35+sin75sin 35# as a single trigonometric function? Find the value of given trigonometric ratio. = 1. Harusnya. Упростим каждый член. Easy Solution Verified by Toppr Was this answer helpful? 0 0 Similar questions Prove that sin105 ∘+cos105 ∘=cos45 ∘. The value of sin10∘sin30∘sin50∘sin70∘ is : Q. Нажмите для увеличения количества этапов $\sin 15^{\circ}=\dfrac{\sqrt{6}-\sqrt{2}}{4}$ $\cos 15 sin15度とcos15度は三角形の相似に着目して計算することができます。 tan15度は直角三角形と角の二等分線定理を使って図形的に計算できます。 Evaluate: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin 75 ∘ Cos 75 ∘ ∣ ∣ ∣ .нелч йыджак митсорпУ )57(nis)51(soc + )57(soc)51(nis )57( nis)51( soc+)57( soc)51( nis ьтитсорпУ яиртемоногирТ )xorppa( 8852. NCERT Solutions For Class 12 Physics; NCERT Solutions For Class 12 Chemistry; NCERT Solutions For Class 12 Biology; = cos 2 75 ∘ + cos 2 15 ∘ − 2 cos 75 ∘ cos 15 ∘ + sin 2 75 Explanation: You can use the sin angle sum formula: sin(A +B) = sinAcosB + sinBcosA. (ii) cos 60° cos 30° + sin 60° sin 30° = cos 30 Master Teacher. Simplify sin(15)cos(75)+cos(15)sin(75) Step 1.2 6√ hakgnal kaynab hibel kutnu kuteK . We have \(\begin{vmatrix} cos 15^\circ & sin 15^\circ\\[0. The exact value of is . 아래는 삼각형의 덧셈정리 Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. 2) Rewriting sin75. sin(- 6) = -3 sin (102) csc (6x) +3 35 View Solution. Hence the value of sin 75° = y = 0. - sqrt (2 + sqrt3)/2 Trig unit circle --> sin 285 = sin (-75 + 360) = sin (-75) Property of complementary arcs --> sin (-75) = sin (-15 + 90 Hello everyone! I'm currently having some trouble trying to find out how much sugar Carlos has in fractions of a kg. the expression is equivalent to the cosine of the difference of two angles identity, rewriting as cos(45°-30°) or cos 15°. Tap for more steps Multiply √6−√2 4 ⋅ √6+ √2 4 6 - 2 4 ⋅ 6 + 2 4. Sin 75° = 2 Sin 15°Cos°15 = Sin 30° Transcript. Simplify each term. = 1/4 √6 + 1/4 √2. Step 4.0k points) trigonometry Trigonometri Contoh. Ketuk untuk lebih banyak langkah Sederhanakan suku-suku. Persamaan Trigonometri. Ketuk untuk lebih banyak langkah Penjawab soal matematika gratis menjawab soal pekerjaan rumah aljabar, geometri, trigonometri, kalkulus, dan statistik dengan penjelasan langkah-demi-langkah, seperti sin 15 = (sqrt2/4)(sqrt3 - 1) Use trig identity: sin (a - b) = sin a. Write an equation to find b, the cost of the procedure. Split into two angles where the values of the six trigonometric functions are known.2. (sin75度+cos75度)/ (sin75度-cos75度)=√6/2 / √2/2=√3. Karnataka Board PUC PUC Science 2nd PUC Class 12. Click here:point_up_2:to get an answer to your question :writing_hand:evaluate the following determinants beginvmatrix cos15circ sin15circ sin75circ. Tap for more steps Step 1. Salah letakin rumus tuh kak sin 75° -sin 15° = 2 cos ½ (75°+15°) . cos150 = 2cos2(75) − 1. Tentukan nilai \sin 75\cos 15-\cos 75\sin 15 sin75cos15−cos75sin15. cos(a+b) 32. cos(75°)sin(15°) Follow • 2 About this tutor › About this tutor › (cos 75°)(sin 15°) (cos (45° + 30°))(sin (45° - 30°)) Now, as suggested in the problem, use the sum/difference formulas. cos 75° cos 15" - sin 75°sin 15sin (750 - 159) sin 60° OC, cos 75 \[\cos{15}\sin{75}\] +. Jadi, nilai dari 2sin255°cos75°+2sin105°sin15° adalah 0. Diketahui cos A=5/3 dan cos B=13/12. Hence the value of sin 15° = y = 0. Lớp 11. Dapatkan akses pembahasan sepuasnya tanpa Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-step Let r= a2 +b2, then there is an angle θ with a = rcosθ,b = rsinθ. Pull terms out from under the radical. Now, if in the reverse direction of that formula, we let: x … sin (75)cos (15) Pre Algebra Algebra Pre Calculus Calculus Functions Linear Algebra Trigonometry Statistics Physics Chemistry Finance Economics Conversions Go … Trigonometry Example: sin (75)cos (15)+cos (75)sin (15) Pre Algebra. . Replace A by 15° and B by 75°. dash06drj is waiting for your help. How do I determine the molecular shape of a molecule? Maka, nilai dari 2 sin 255° cos 75° + 2 sin 105° sin 15° adalah: 2 sin 255° cos 75° + 2 sin 105° sin 15° = (-1/2) + 1/2 = 0.2588) of the point of intersection (0. Know more about Trigonometry and ace the concept of Trigonometric Functions. Also there can be many ways to find out the values. cos (15° + 75°) = cos 15° cos 75° - sin 15° cos 75° ⇒ cos 90° = cos 15° cos 75° - sin 15° cos 75° So, substituting it, we get. di sini ada pertanyaan nilai dari sin 75 derajat dikurang Sin 15 derajat cos 105 derajat dikurang cos 15 derajat adalah di sini kita punya rumus identitas trigonometri yaitu a dikurang Sin b = 2 * cos a ditambah B per 2 dikali Sin a kurang b per 2 dengan rumus 1 AG itu cos a dikurang cos B = min 2 x Sin X + B per 2 dikali Sin a dikurang B per 2 maka dari soal yaitu Sin 75 derajat dikurang Sin Apply the trig identity: cos (a + b) = cos a.5 D. a. Sin 75° = Sin 150° Notice: Sin 150 º = Sin 30° See that Sin 75° = Cos 15° Cos 75° = Sin 15° So : 2Cos 75° . Cos (45) cos (15) 18. Tap for more steps Cancel the common factor of 4 4 and 16 16. Show that `|{:(cos 15^@ ,sin 15^@),(sin 75^@,cos 75^@):}|=0` Tentukan Nilai yang Tepat sin (75)+sin (15) sin(75) + sin(15) Sederhanakan setiap suku. sin 15 = sin 30 2 = 1 − cos 30 2− −−−−−−−−√ = 1 − 3√2. Now the sum formula for the sine of two angles can be found: sin(α + β) = 12 13 × 4 5 +(− 5 13) × 3 5 or 48 65 − 15 65 sin(α + β) = 33 65 sin ( α + β) = 12 13 × 4 5 + ( − 5 13) × 3 5 or 48 65 − 15 65 sin ( α + β) = 33 65. If sin (A + B) = sin A cos B + cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of (i) sin 75∘ and (ii) cos 15∘. Who are the experts? Experts are tested by Chegg as specialists in their subject The answer is cos 75. How do you use the sum and difference identities to find the exact value of cos 75? 2 sin A sin B = cos (A - B) - cos (A + B) We get. The value of cos15∘ +sin15∘ cos15∘ −sin15∘ is. NCERT Solutions.2. Since 255∘ is the sum of 225∘ and 30∘, we can write: = sin(255∘) = sin(225∘ + 30∘) = sin(225∘)cos(30∘) + sin(30∘)cos(225∘) Here's a unit circle to remind us of some sin and cos values: = sin(225∘)cos(30∘) + sin(30∘)cos(225∘) Concept used: Cos (90° - θ) = Sin θ Sin (α - β) = Sinα Cosβ - Sinβ Cosα Calculation: cos 75 In this post, we will learn how can we find value of sin 15, sin 75, cos 15, cos 75, tan 15, tan 75, cot 15, cot 75, sec 15, sec 75, cosec 15 and cosec 75 degrees. Tap for more steps √2 + √6 4 ⋅ √6 + √2 4 Multiply √2 + √6 4 ⋅ √6 + √2 4. . soal2. The value of sin^2 5° + sin^2 10° + sin^2 15° + … + sin^2 85° + sin^2 90° is A. Join BYJU'S Learning Program Grade/Exam 1st Grade 2nd Grade 3rd Grade 4th Grade 5th Grade 6th grade 7th grade 8th Grade 9th Grade 10th Grade 11th Grade 12th Grade Find the exact value of the expression. MCQ Online Mock Tests 43. Step by step video, text & image solution for Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. .cos 15 - sin 25. sin(45)cos(30)−cos(45)sin(30) sin ( 45) cos ( 30) - cos ( 45) sin ( 30 Now we got, from (2) sin 15° - cos 15°= -√(1 - sin 30°) … (4) Adding eq. Tap for more steps √2√6 + √2√2 + √6√6 + √6√2 16 true View solution steps Quiz Trigonometry cos(75) =sin(15) Similar Problems from Web Search What is 1 − sina − cos a as a product? Trigonometry Simplify sin (75)cos (15)+cos (75)sin (15) sin(75)cos(15) + cos(75)sin(15) Simplify each term.9659) of unit circle and r. Evaluate ∣ ∣ ∣ c o s 15 s i n 15 s i n 75 c o s 75 ∣ ∣ ∣ color(red)(sin(75) = (1+sqrt3)/(2sqrt2)) > sin(75) = sin(45 + 30) The sine sum identity is: sin(A+B) = sinAcosB+cosAsinB ∴ sin(75) = sin(45)cos(30) + cos(45)sin(30 Bagikan. Iklan. sin B] ← Prev Question Next Question →. Sa se calculeze: A)sin 75; - 612819. cos (15° + 75°) = cos 15° cos 75° - sin 15° cos 75° ⇒ cos 90° = cos 15° cos 75° - sin 15° cos 75° So, substituting it, we get. cos2(75) = 2 −√3 4. Values of Sin 15, cos 15 ,tan 15 ,sin 75, cos 75 ,tan 75 of degrees can be easily find out using the trigonometric identities. . Sudut 15 derajat merupakan salah satu sudut bukan istimewa yang tentu tidak kita hafalkan nilainya, akan tetapi bisa kita sin 2θ = 2 sin θ cos θ . Chapter 3 Class 11 Trigonometric Functions. Class 11 MATHS TRIGONOMETRIC FUNCTIONS. Skill Academy.cos b - sin b. > < Simplify: sin 15° sin 75° + cos 75° cos 15° - YouTube join our group for asking your maths doubt pls click below link sin Solution Verified by Toppr Using fundamental theorem of determinant, ∣∣ ∣cos15o sin15o sin75o cos75o∣∣ ∣ =cos15ocos75o −sin150sin75o = cos(75o+15o) =cos90o =0, [using sum to product formula] We have used the Fundamental theorem of determinant is ∣∣ ∣a b c d∣∣ ∣ =ad −bc Was this answer helpful? 3 Similar Questions Q 1 Evaluate lim x→0(32x−1 23x−1) ⇒ cos(75) - cos(15) = - 1/√2 Therefore, the value of cos(75) - cos(15) is (- 1/ √2) Whether you're preparing for your first job interview or aiming to upskill in this ever-evolving tech landscape, GeeksforGeeks Courses are your key to success.

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report flag outlined. Method 2: Another method to find the value of sin 15 degrees is given below.cos b - sin a. To find the value of sin 15 degrees using the unit circle: Rotate 'r' anticlockwise to form a 15° angle with the positive x-axis. Tap for more steps √2 + √6 4 cos(15) The exact value of cos(15) is √6 + √2 4. Tap for more steps Step 1. . The tip was 9 % of the cost of the procedure. Tap for more steps 0 Free math problem solver answers your algebra, … Integration. 05/07/2023 1,500. Tap for more steps The exact value of cos(15) cos ( 15) is √6+√2 4 6 + 2 4.cos(75)cos(15) - sin(75)sin(15) Simplify each term. 2cos2(75) = 1 − √3 2 = 2 − √3 2. Then, Evaluate: (i) tan 7° tan 23° tan60° tan 67° tan 83° (ii) 2sin 38°/cos 22° - 2cot 15°/5 tan 75° - . Không dùng máy tính, tính giá trị của các biểu thức: A = cos 75° cos 15°; B = sin 5π 12 cos 7π 12 sin 5 π 12 cos 7 π 12.2588) of unit circle and r. Halo Eno, jawaban dari pertanyaan di atas adalah √ (3). Now the equation becomes rcosθcosα+rsinθsinα = c cos(α−θ) = c/r.2.1. Q 4.cos b - sin b. (3) and (4) we get, 2 sin 15° = √(1 + ½) - √(1 - ½) 2 sin 15° = (√3−1)/√2. Add and . 9.9659, 0. Question Papers 1978. cos(75)cos(15) - sin(75)sin(15) Simplify each term. Add and . Matematika. Step 3. sin(45−30) sin ( 45 - 30) Separate negation. Нажмите для увеличения количества этапов Точное значение : . Tap for more steps √6−√2 4 cos(15) 6 - 2 4 cos ( 15) The exact value of cos(15) cos ( 15) is √6+√2 4 6 + 2 4. sin 75+sin 15 b. Evaluate exactly 17.1. Medium View solution > View more To find the value of cos 75 degrees using the unit circle: Rotate 'r' anticlockwise to form 75° angle with the positive x-axis. Question Prove that sin75 ∘−sin15 ∘=cos105 ∘+cos15 ∘. Hallar el valor exacto cos(75) Step 1. El valor exacto de es . Verify each of the following: (i) sin 60° cos 30° − cos 60° sin 30° = sin 30°.. Subham Karmakar Subham Karmakar. sin 75° = cos (15° + 75° ) = cos 90° = 0 [since cos (A + B) = cos A. ∫ 01 xe−x2dx. Apply the sum of angles identity cos(x+y) = cos(x)cos(y)−sin(x)sin(y) cos ( x + y) = cos ( x) cos ( y) - sin ( x) sin ( y).°09 nis = )°51 + °57( nis = °51 nis °57 soc + °51 soc °57 nis ∴ )y + x( nis = y nis x soc + y soc x nis ,taht wonk ew sA .15 ( ramuKnamaR yb yrtemonogirT ni 0202 ,71 peS deksa °04 nis + °05 nis )iii( °51 soc + °56 soc )ii( °53 nis – °57 nis )i( tcudorp a sa gniwollof eht fo hcae sserpxE 51 soc °57 soc + °57 nis °51 nis knil woleb kcilc slp tbuod shtam ruoy gniksa rof puorg ruo nioj si ∣ ∣ ∣ ∘ 57 soc ∘ 57 nis ∘ 51 nis ∘ 51 soc ∣ ∣ ∣ = Δ fo eulav ehT . = 0. Step 1. Q.) Not the exact question you're looking for? Post any question and get expert help quickly. Jika diketahui x+y=270 maka . Нажмите для увеличения количества этапов 2 - √3 4 + 2 + √3 4 Упростим члены.9659) of unit circle and r. Consider a equilateral triangle bisected: From this we see: #cos 60^@ = "adjacent"/"hypotenuse" = 1/2# #sin 30^@ = "opposite"/"hypotenuse" = 1/2# Apakah Friends pada soal ini kita akan menentukan nilai dari poin A dan poin B untuk menyelesaikan soal ini kita mengingat beberapa rumus terkait trigonometri yang pertama untuk bentuk Sin Alfa + Sin beta bisa kita jabarkan seperti ini kita juga punya rumus untuk Sin Alfa yang digambarkan seperti ini kemudian kita juga perlu ingat bahwa nilai Sin … So, \tan(iz)=1 So, iz=m\pi+\frac\pi 4 where m is any integer. Expert Answer. Their sides across from the angles are in the ratios: 1:1:√(2) & 1:√(3):2. sin 15° = cos 75° =. sin 75-sin 45. sin (75°) cos (159) + cos (75°) sin (15°) sin (75°) cos (15°) + cos (75°) sin (15°) = | (Type an exact answer, using radicals as needed.50 tip. Related questions. $\sin 15^{\circ} \cos 75^{\circ}+\cos 15^{\circ} \sin 75^{\circ}$. sin(45−(30)) sin ( 45 - ( 30)) Apply the difference of angles identity. Please help! Darcy gave her beauty technician a $4. Finally: sin 285 = - cos 15 = − √2 + √3 2. Download Solution PDF. Here, we have to find the value of sin 75° cos 15° + cos 75° sin 15°. \sin 8 x \cos 7 x-\cos 8 x \sin 7 x sin8xcos7x−cos8xsin7x. Tap for more steps 2 + √3 4 + 2 - √3 4 Simplify terms. 3. Tap for more steps 0 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Untuk menyelesaikan soal ini kita menggunakan rumus: sin A cos B = 1/2 [sin (A+B) + sin (A-B)] Diketahui: sin 90° Pembahasan: sin 75° cos 15°= 1/2 [sin (75°+15°) + sin (75°-15°)] =1/2 [ sin 90°+ sin 60°] =1/2 [ 1 + ( (akar 3)/2)] =1/2 + ( (akar 3)/4) = (2+ (akar 3))/4 Jadi, nilai dari use the angle sum or difference identity to find the exact value of sin 15 degrees.0 (2) Balas. Click here👆to get an answer to your question ️ Prove that sin 75^∘ - sin 15^∘ = cos 105^∘ + cos 15^∘ . Find an answer to your question simplify cos 15°- sin 15° / sin 15° + cos 15° cos 75 = cos ( 90 − 15 ) = sin 15 cos 75 = √ 3 − 1 2 √ 2 Value of tan 75 degrees Now tan 75 = sin 75 cos 75 = √ 3 + 1 √ 3 − 1 Advertisement Advertisement New questions in Math. We have to convert the associative angle using other formulas to simplify it. It is important that topic is mastered before continuing The value of sin (75)cos (15)+cos (75)sin (15) is 1 © Course Hero Symbolab 2023 Trigonometry Find the Exact Value cos (75)cos (15) cos (75)cos (15) cos ( 75) cos ( 15) The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4. The exact value of cos(30) cos ( 30) is √3 2 3 2. Step 5. #sin(A-B)=sinAcosB-cosAsinB# We might notice that #75-60=15# so #sin15^@=sin(75^@-60^@)=sin75^@cos60^@-cos75^@sin60^@#. sin 75 cos 15 - cos 75 sin 15 = = sin(75 - 15) = sin 60 = 1/2 √3. 2 sin 75° sin 15° = cos (75-15) - cos (75+15) = cos (60°) - cos (90°) (iii) Given: A = 75° and B = 15° Now put all these values in the formula, 2 cos A cos B = cos (A + B) + cos (A - B) We get. Your input cos (50)cos (5)+sin (50)sin (5) is not yet solved by the Tiger Algebra Solver. What are the 3 types of trigonometry functions? The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). Step 1.965. x→−3lim x2 + 2x − 3x2 − 9. We know by formulas that sin(A+B) = sinA. sin 30 sin 15 – cos 30 cos 15 Jika diketahui bahwa cos 1/2 theta=akar ( (x+1)/2x), operas Tentukan nilai dari sin 105+sin 15. These formulas can be derived from the product-to-sum identities. Tonton video 2 dikali cos A min b per 2 maka dari itu kita bisa langsung masukkan saja angka-angkanya dengan a = 75 derajat dan b = 15 derajat sehingga menjadi cos 75 derajat + cos 15 derajat = 2 cos 75 derajat + 15 derajat per 2 dikali dengan cos 75 derajat dikurang 15 derajat per 2 maka ini kita Q. Login. cos (45) sin (15) 19.1k points) trigonometry Q. Recall that there are multiple angles that add or Find step-by-step Precalculus solutions and your answer to the following textbook question: Find the exact value of each expression.sin 15. CBSE Science (English Medium) Class 12. untuk mengerjakan soal ini kita harus ingat jika kita memiliki Sin a dikurangi dengan Sin B Maka hasilnya adalah 2 * cos setengah a + b dikali Sin setengah A min b lalu jika kita memiliki cos a + cos B Maka hasilnya adalah 2 dikali cos setengah a + b dikali cos setengah A min b pada soal ini kita diminta untuk mencari Hasil dari sin 75 derajat dikurangi Sin 15 derajat dibagi dengan cos 75 Hallo Bobarius, kakak bantu jawab yah :) a. Example 3 Find , and , if , and and are the first quadrant angles. Step 5. How to find the value of cos 15° - sin 15° using trigonometric formulas? Learn the solution and the concept behind it with BYJU'S, the best online learning platform for maths and science. Rumus Jumlah dan Selisih Sinus, Cosinus, Tangent. Beri Rating · 5. Find MCQs & Mock Test. cos B – sinA . 10 asked Jun 4, 2021 in Trigonometry by Daakshya01 ( 30. Halo Denara, kakak bantu jawab ya. Cite. jika kita melihat soal seperti ini maka bisa kita gunakan rumus trigonometri cos Alfa ditambah cos Beta = 2 cos setengah dikali alfa + beta dikali cos setengah dikali Alfa Min beta dan juga kita gunakan rumus trigonometri Sin Alfa dikurang Sin beta yaitu 2 cos setengah dikali alfa + beta dikali Sin setengah Alfa Min beta disini kita punya soal cos 75 + cos 15Sin 75 dikurang Sin 15 = kita ubah Nilai dari cos 75 cos 15-sin 75 sin 15 adalah . OK. BUT we don't know … How to find the value of cos 15° - sin 15° using trigonometric formulas? Learn the solution and the concept behind it with BYJU'S, the best online learning platform for maths and science. 從幾何定義中能推導出很多三角函數的性質。例如正弦函數、正切函數、餘切函數和餘割函數是奇函數，餘弦函數和正割函數是偶函數 。 正弦和餘弦函數的圖像形狀一樣（見右圖），可以看作是沿著坐標橫軸平移得到的兩組函數。 Nyatakan 2 cos 75° cos 15° ke dalam bentuk jumlah atau selisih, kemudian tentukan hasilnya. The exact value of cos(75) cos ( 75) is √6−√2 4 6 - 2 4. GRATIS! Nilai dari sin 105 + cos 105 adalah . Jika anda membutuhkan rumus-rumus singkatnya, anda bisa 2 cos 75° . + b kemudian dikali cosinus setengah dari A min b sementara rumus dari cos a Blog Koma - Rumus dasar sudut ganda trigonometri salah satunya bisa kita gunakan untuk Menghitung Nilai sin dan cos 15 derajat yang akan kita bahas pada artikel ini. 와. Tap for more steps √6−√2 4 ⋅ √6+ √2 4 6 - 2 4 ⋅ 6 + 2 4 Method 1 Use: #cos (alpha-beta) = cos (alpha)cos (beta)-sin (alpha)sin (beta)# So: #cos 75^@ cos 15^@ + sin 75^@ sin 15^@ = cos (75^@ - 15^@) = cos 60^@ = 1/2# Method 2 Use: #cos (theta) = sin (90^@-theta)# #sin (theta) = cos (90^@-theta)# #sin (2theta) = 2 sin theta cos theta# So: Trigonometry questions and answers.15. cos (75) = sqrt (2 - sqrt3)/2 Use trig identity: cos 2a = 2cos^2 a - 1 cos 150 = 2cos^2 (75) - 1 Trig table The value of cos 75∘ cos 15∘2+sin 75∘ sin 15∘2 is. Find MCQs & Mock Test. Perhatikan penjelasan berikut ya. Steps I took: 1) Finding the value of the left hand side.1. Processing ends successfully. Important Solutions 1004. Q. cos 75° cos 15° = 1/2(cos (75+15) + cos (75-15)) = 1/2 (cos (90°) + cos (60 15 +180 will work, if you know sin15. Fresh features from the #1 AI-enhanced learning platform. cos 40 = 0,766. Ketuk untuk lebih banyak langkah Sederhanakan suku-suku.1. Sudut A … Step by step video, text & image solution for Simplify (sin 75^(@)-sin 15^(@))/(cos 75^(@)+cos 15^(@)) by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.93 2 = −0. Since cos (75) is positive, take the positive answer. Hence the value of sin 15° = y = 0. Now write it in the reverse direction: sinxcosy +cosxsiny = sin(x +y). Selain menggunakan sudut ganda, juga akan menggunakan rumus dasar pengurangan sudut pada trigonometri.2588, 0. Hasilnya dapat ditampilkan dalam beberapa bentuk.3em] \end{vmatrix}\) On expanding the above, ⇒ {cos 15°} {cos 15°} – {sin 15°} {sin 15°} On applying formula cos(A + B) = cos A cos B - sin A sin B = cos (15 + 15) = cos (30°) Jawab: Penjelasan dengan langkah-langkah: soal1. cos 15° = sin 75° =. Important Solutions 7569. Class 11 MATHS TRIGONOMETRIC FUNCTIONS. sin(75)cos(15) + cos(75)sin(15) Sederhanakan setiap suku.2 √3 + 1/2 √2 . soal2. Syllabus.61.. Similar Questions. Find the exact value of the expression cos 75°cos 15° - sin 75°sin 15° Rewrite the expression using a sum or difference formula Choose the correct answer below. −sin(15∘)sin(75∘) Find its exact value. Nilai dari cos 75 cos 15-sin 75 sin 15 adalah .

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cos(15)cos(75) - sin(15)sin(75) Simplify each term

. \sec ^2 \theta-\tan ^2 \theta=1 sec2θ−tan2θ = 1. El valor exacto de es . Download Solution PDF. 三角函数是基本初等函数之一，是以角度（数学上最常用弧度制，下同）为自变量，角度对应任意角终边与单位圆交点坐标或其比值为因变量的函数。. Share. Since cos 15 is positive then take the positive value only. Cancel the common factor of cos 15° .2. sin 15 ° cos 75 ° + cos 15 ° sin 75 ° tan 5 ° tan 30 ° tan 35 ° tan 55 ° tan 85 ° Q. Textbook Solutions 24549. The value of (cos 75 ∘ − cos 15 ∘) 2 + (sin 75 ∘ − sin 15 ∘) 2 is Q. Evaluate the Following Determinant: ∣ ∣ ∣ Cos 15 ∘ Sin 15 ∘ Sin Halo friends disini kita punya soal tentang trigonometri kita rayakan dari sin 15 derajat + cos 15 derajat dikali dengan Sin 15 derajat Min cos 15 derajat Bali untuk rumus trigonometri berikut yakni untuk Sin dari X dikurang Y = Sin x cos y dikurang Sin x cos X untuk X dari x = cos x + y = Sin X Sin y jadi disini kita perhatikan bahwa kita akan mencair terlebih dahulu untuk nilai dari sin 15 Find the Exact Value sin (15 degrees ) sin(15°) sin ( 15 °) Split 15 15 into two angles where the values of the six trigonometric functions are known. Rewrite as ..+ °57nis = °51soc + °57nis ⇒ :noitaluclaC Bnis Asoc + Bsoc Anis = )B + A( nis :desu stpecnoC °51soc + °57nis = noisserpxE :neviG . area of triangle side is 10 sin75-cos75=sin75-sin15=2cos (75+15)/2sin (75-15)/2=2cos45sin30=√2/2.