Cos 50° cos 275° + sen 50° sen 275° = sen 75° cos 38° – cos 75° sen 38° = %3D TC COS os 4 TC COS 4 sen TO sen 4 4 ||

Q: 3x 3x 16 cos + isin 4. 4. Sa 5x 34 cos + isin 3 3

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Q: ſcos 3t sin 8t dt * 1/2 (-1/5 cos5t - 1/11 cos11t ) + C O 1/2 (1/5 cos5t - 1/11 cos11t) + C O None…

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Q: 1+ cos 40 cos* 20 do = .4 do = (1+2 cos 40 + cos 40) d0 1+ cos 80 de 4 3 + 2 cos 40 + 1 cos 80 do 1+…

A: Fully solve the intregal with each step

Q: 1 cos(2 t) (-13 cos(t) – 15 cos(3 t) + 26 sin(t) + 10 sin(3 t)) + 260 1 (26 cos(t) + 10 cos(3 t) +…

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Q: V34 cos co - 59.036°) = 4 cos co -59.036°) V34 o - 59.036° - Cos" (会 o -59.036= 46.686 0 = ° 105.才22…

A: The objective is to find the value of theta.

Q: 1. Suppose 0 e QI ( 0 < 0 < ) and cos 0 = n. (n is just some number). What is cos-(-n)? (a) 0 (b) –0…

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Q: 13 4. sec 8 = sin 6>0 5'

A: Given secθ = -135sinθ&gt;0 Hence θ lies in the second quadrant We know that in second quadrant sinθ…

Q: 3.7 O cos ) cos(8-x) cos - cos 3

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Q: graph the curves over the given intervals, together with their tangent lines at the given values of…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 06 Express cos 0 in terms of multiple angles. O (cos50 + cos30 + cos0)/16 O (cos50 + cos30 + cos0)/8…

A: Please find attachment for the details solution

Q: establish each identity

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find the other two if x lies in the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: cos(2 t) (-13 cos(t) – 15 cos(3 t) + 26 sin(t) + 10 sin(3 t)) + 260 1 (26 cos(t) + 10 cos(3 t) + 13…

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Q: 3 5 - 20 cos 2 sin 20 de= 6/2 -T aO 64 3/2 64 3/2 32 2 32

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Q: 3) Find the exact value of: cos 1° + cos 2º + cos 3º + …+ cos 358° + cos 359° ...

A: The trigonometric identity is cos x+cos y=2cosx+y2cosx-y2 and cos360°-θ=cosθ.

Q: 5. cos() 7. 6. cos(3) 8. cos(2)

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Q: Use a change of variables or Table toevaluate the following definite integrals.

A: ∫01/8x1-16 x2 dx

Q: 8, = ( sin 0 cos 4)ô, + ( sin 0 sin )ô, + ( cos 0)ô d = ( cos e cos p)ô, + ( cos e sin )ô, + (– sin…

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Q: (i) [2(cos 0° + i sin 0°)][4(cos 90° +i sin 90°)] (ii) [2(cos 210° + i sin 210°)][4(cos 120° + i sin…

A: change in polar form

Q: An expression that can be obtained from 13 sin 20 cos 20 5 4 sin 20 cos 20 + cos 20 i. 4 sin 20 + 9…

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Q: 5 sin 20 sin 100 5 cos 80 – 5 cos 120 -5 sin 80 – 5 cos 120 5 cos 120 – 5 cos 80 5 sin 120 – 5 cos…

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Q: Cos 30° Sn 60° o S.n 60° Cos?0° (os 60° S.n šo° %3.

A: As per our guidelines we are supposed ro answer only 3 parts, those are given in the steps below.

Q: Establish each identity.

A: Solution:To establish1+cos 2θ+cos 4θ+cos 6θ=4 cos θ cos 2θ cos 3θFormula:cos A + cos B= 2 cos A+B2…

Q: (5е? + 9* — 8 sin x)dx - 8 sin æ) de O 5e* + x° – 8 cosx + c x° - 8 cos x + c О Бе + x —— 8 sin x +…

A: Solving the problem by doing the integration.

Q: 5. 2 cos (0)+3cos (0)+1=0

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Q: cos 15.4- cos 9A A) 2cos 3.Asin 124 C) -2sin 124sin 3A B) -2cos 3.Acos 124 D) 2cos 3.Acos 124

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Q: A 2sin(/x)-2/xcos(/x)+ C B) None of the given Choices © 2/x sin(x)-2cos(x)+ C 2sin(/x) +2/xcos(/x)+C…

A: We will find the integral.

Q: r = 2 cos(4 e) r= 1+1 sin(0) r = 3 cos(2 0) r = 1+ 4 sin(e) r = 3 sin(3 0) r = 3 - 2sin(0) %3!

A: To match the given figures with the given equations.

Q: .a TC .bO 2π .cO || 2.

A: I will use the definition of gamma function.

Q: (sın?0 + sin²a cas - risine) do = (1+ casa) dr 「(サ2) こー! LINE 1 (1+ cos e) dr - (sın2o + sin?@ cose…

A: See the details solution in below

Q: 6 (cos 120° + i sin 120°) z 4(cos 30° + i sin 30°) is O 10 cis 150° O 24 cis 90° 24 cis 150°

A: The given expression is 6cos120°+isin120°×4cos30°+isin30° simplify…

Q: 5. Find ALL degree solution of 3sin 0 + 3 = 2 cos' 0.

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Q: Sino= Can you find Coso 2 Sino %3D %3D Coso tano SIT 4. Sino - 3 Cos o %3D 3 tano + 4 Coro Tano = Ji…

A: To solve the following trigonometric identities. According to our company's guidelines I can only…

Q: 3 2 sin 20 cos 2 0 dO= 3/2 .a 64 2. 32 6/2 64

A: Option (a) is correct.

Q: We work 3 200 20 4 24 1. sin 20 st 2. cos 20 3. tan 20 4. sin 2a 5. cos 2a 6. tan 2a

A: As per guidelines we can find answer to only three subparts of questions at a time. So if you need…

Q: 13 7. tan | sec 5. -1 4 8. sin cos I5 9. sin (sin n) 10. csc (sec '2)+ cos (tan 3

A: NOTE: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 5. if A.-A Cosa, A2 = A COSB A3 = A cos & and A = Aj+A₂³ +Azk then cosa + cosp + cos²/8 = 1

A: The given problem is to show the following identity with given vector values of A. Given A1=Acos(α)…

Q: sen? 2. a + COS cos a-1

A: We know that,   tanθ = 1/cotθ    sen2α  =  1 - cos2α

Q: 07 * Express cos' 0 in terms of multiple angles. (cos50 + cos30 + cos0)/16 (cos50 + cos30 + cos0)/8…

A: We have cos5θ We have a formula cos2x=1+cos2x2. Using this we get:…

Q: Cos 24=12 S2(cos 315+i sin 315) 2;=8(0515ot i sm 150 %3D

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Q: 1+ cos(8) sin(8) 2 csc(0) sin(0) 1 + cos(0) 1 + cos(8) D + sin?c®) sin(0) sin(0) 1+ cos(0) sin(0)(1…

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Q: 6. 7. 3+6s+45²-25³ s² (s² + 3) 26-5²- s(s² + 4s+13) [2+1+√√3 sin √√3t-4 cos √√3t] 2 [2-3e-2t cos 3t…

A: To find the inverse laplace of the following.6 3+6s+4s2-2s3s2s2+37 26-s2ss2+4s+13

Q: 3 2 sin 2 0 cos 2 0 dO= 6/2 IT a O 64 32 3/2 64 3/2 32

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Q: 55(cos 2.1+ isin 2.1) 10. 11(cos0.5+ isin 0.5) (a) 5(cos 2.1+ isin 2.1) (c) 5(cos1.6- isin 1.6) (e)…

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Q: 1 cos Cos (n + 1)² n n=1

A: A telescoping series is any series where nearly every term cancels with a preceeding or following…

Q: sin 5x sin adx =? O A, sin 4x sin 6x +c 6 4 sin 4x sin 6x OB. 8. +c 12 O C cos 4x 8 cos 6z +c 12 O D…

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Q: -2 /2 cos 0 = 3 y sen 0 = a. csc 0 = c. tan 0 = b. sec 0 =. d. cot 0 = 4/17 sen 0 = 17 y cos 0 = 17…

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Q: 1 cos 20 cos² 20 8. Prove: cos* 0==+ 4 4

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.