30. cus 70 + i sin 70 A 7(cos 0 + i sin 0) B 7(cos 0 – i sin 6) C ( cos 0 + i sin 0 D cos 20 cos 50 + i sin 20sin 50

Q: 2 += cos 3t 3 -- sin 3t 4 3. L 20s? – 103s + 423 6. 28(s – 5)(s? – 9) 20s? – 103s – 423 20s2 + 103s…

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Q: √3+2 px/3 ² √²³ (2² 10 (2 cos 0 - 3 sin 30) de dr

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Q: 63. First, observe sin 4x = 2 sin 2x cos 2x = 2 sin 2.x(1 – 2 sin? x) = 2 sin 2x – 4 sin 2x sin² x =…

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Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

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Q: 3. * S cos(3z)sin1º(3z) dz A 1 C (sin(3z))10 + C 3 (cos (3z))10 + C - -- В 1 (cos (3z))'1 + C 33 1…

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Q: cos 20 = 3 sin 0 – 1 (1 – 2sin?0) – 3 sin 0 + 1 = 0 2 sin? 0 + 3 sin 0 – 2 = 0

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Q: 4 Suppose that sin e -and <0<1. Find the exact values of cos 2 and tan 2. Cos 2. = D tan, 2) %3D

A: As we know sin2θ+cos2θ=1. cosθ=1-452=1-1625=-35 Using Double angle formula: sinθ2=1-cosθ2=1+352=810…

Q: establish each identity

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

Q: Show that (cos 0 + i sin 0)" = cos n0+ i sinne for n = 3 and n = 4.

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: 1. Given z, = 5 cos 377 +i sin 37 and z2= 37 +i sin 2 find z,z2 where 0se< 2x. cos 2 2 37 +i sin 2…

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Q: 19. sin' 0.3 od ni be 20. sin 0.47 21. sin (-0.32) -1 STS 22. sin (-0.625) -14 24. cos -1 23. cos 8.…

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Q: tan (+) = [² Lt) ton" (+ tan (4+/cmc+)) In 2 4 2 6 • tan À I 12 1²0 (+) - — tan² (+) + & tan² (+) +…

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Q: 1 is (s+3)* + 4 cos3t a) 3 cos2 b) c) 2 sin 2r d) 3 sin 2r

A: I will use the rules of inverse Laplace transform.

Q: 15 and x terminates in guadrant III. 17 Find sin2x, cos 2x, and tan 2x if sin x= - sin 2x cos 2x %3D…

A: The solution is given in the next step.

Q: snip

A: sin4θ=sin2θ2=1-cos2θ22=141+cos22θ-2cos2θ=141+1+cos4θ2-2cos2θ=14+1+cos4θ8-12cos2θ=14+18+18cos4θ-12cos…

Q: 9 sin sin 2O° =Y 1o) cos cos 70 = a4 24 1)Sin Sin 7o = X 24 12) cos cos 20 = _ x %3D 24 24 20

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Q: 8 and x terminates in guadrant III. 15 Find sin 2x, cos 2x, and tan 2x if tanx= sin 2x %3D cos 2x…

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Q: b. Z1= 4(cos 200° + i sin 200°), z2= 25(cos 150° + i sin 150°)

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Q: sec 0 + In +22+3 = -3 In y? + 32 -4 = 1+ cos 20 2/1+ (tan 0)2 + 2ln y + 2² =-3

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Q: Fill in each blank so that the resulting statement is true.

A: STATEMENT-1 Given equation is, sinx=22⇒sinx=12 The General Solution of the equation in the interval…

Q: Compute / sin? æ dæ. sin 2x + C 4 sin a +C 3 cos 2x + C 4 2 sin 2x + C 4 cos 2x + C 4 2

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Q: -24-4s e S COS os(28) – 7 sen(28) cos s+6 s2 + 49

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Q: In Problems 28–44, establish each identity.

A: Trigonometric identities are given, we have to prove the identities. Note: we are answered with 3…

Q: the sum of sin h 2x and cos h 2x

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Q: 3) Solve For OsO<2M VZ COS O + 2öin20=sin 20

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Q: 9-simplify sin 3π/4 сos π/3 +cos 3π/3 sin π/3 a) Sin 13π/12 b) Sin 5π/12 c) Cos 13/12 d) Cos 5π/12

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Q: We apply one of the Half-Angle Formulas to simplify the integral cos (5æ) da. VWhat is the resulting…

A: We know the identity  Cos(2x)= 2cos2(x)-1

Q: 3 Show that sin' 0 cos“ 0 1 1 cos (40) + 32 cos 128 cos ( 80). 128

A: To prove that,           sin4θcos4θ=3128-132cos4θ+1128cos8θ

Q: 125 cos – j sin 11 7T 11 1. Simplify . Express answer in rectangular form. 47 + jsin 11 J5 cos 11

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

Q: 43. If |2| > 2, then f - dr r = fcos(5) + k B sin-'(5) + k: cosh-" (5) + k: Itanh-"(4)+k B 2

A: by using hyperbolic Trigonometry substitution

Q: 2.10. Which of these equations is always true? A. sin(x) = cos(x) B. sin(x) = cos(90° – x) C. sin(x)…

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Q: 3.16. Show that 10 (1 – i)49 (cos + i sin ) (8i – 8/3)6 - V2. -

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Q: 2. If 90° < 0 < 180° and cos 0 =-, find sin. %3D 11/3 11/3 3 ) - 3V11 11 O 3/11 11

A: We know that the trigonometric identities :  cos x = 1 - 2 sin2 (x/2)

Q: S cos(3z)sin1º(3z) dz A 1 (sin(3z))10 + C 3 C 1 (cos (3z))10 + C 3 -- 1 D 1 (cos (3z))'1 + C 33…

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Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9 x) - os Select one: True O False

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Q: 1 then sin 20 is equal to 2 If 20 is in QIl and cos 30 cos 0 + sin 30 sin 0 V3 1 1

A: The given trigonometric problem is solved below in detail.

Q: 3. Express into standard form: = = 8[cos (-5) + + sin(-5)] Z i 3 3

A: Solution

Q: 1 을 with If sin B B in Ql, find B sin ? В sin 3 + 2 6. 2 B sin 3 + 2 3+22 sin 2 6 sin 2 B 3+2/2

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Q: If 20 is in QII and cos 36 cos 0+ sin 30 sin 0 = then sin 20 is equal to 2 O V2 O V3 2 0 1 o 1

A: cos 3θ cosθ+sin 3θ sinθ=-12

Q: 5) 2√√3 cos sin 0 - cos 0 = 2cos 0

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Q: 3 Verify the identity: csc (0) 1-cos2 (0) cos (20) 2 sin(0) + 2tan(0) cos(0) = %3D sin (0)

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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: 5. [(6+3z)cos(1+4:)dz

A: To evaluate the given integral.

Q: 11. One leaf of r = cos 30 12. One leaf of r = sin 40 13. Bounded by r = 2 cose %3D 14. Bounded by r…

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Q: 13л +i sin 16 5л +i sin 8. 13л 5л Let Z1 = 10| cos and Z, = 2| cos 16 8

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Q: sec 0 + In + 27+3 = -3 2 In y? + 327 – 4 = 1+ cos 20 2/1+ (tan 0)² + 2ln /y + 22 = -3

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Q: de 2- sin(e) ( cos(e) de 1+cos(0) de 2- 3sin(e) de 3sin(e) + 4cos(e) + 5 de sin(e) + 3cos(6) + 3

A: SOLUTION Given ∫dθ2 -sinθ∫cosθ dθ1+cosθ∫dθ2-3sinθ∫d θ3 sinθ+4 cosθ+5∫d θsinθ +3 cosθ+3 we need to…

Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the…

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

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