Find, if 21 = 20 cos (co + i sin 5п 6 5п 6 Z1 = 10 cos 10 (cos ³7 + i sin 4 (37) 4

Q: 2, 3π cot²( -B) if sin 2ẞ 4 5

A: Answer : 1.1879Let me know if you have any question, and please don't forget rate my…

Q: 2 cos? x dx =

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Q: 3- Represent in the form of x+ iy a) V8 (cos + i sin m) b) 6 (cos 7 + i sin7)

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Q: C. If sin A+ sin2 A = 1 and a cos12A +b cos® A+ c cos A - 1 = 0 then b + - + b =? %3D %3D

A: Topic = Trigonometry

Q: 7) Use sun and difference formula to verify the identity cos(A+B) cos(A-B) = cos2A + cos2B-1 A-B) =…

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Q: 14. If Cos 2 A.Cos 2B = Cos 20, prove that: Sin² A.Cos² B+Cos² A.Sin² B = Sin²0

A: Given We have to prove .

Q: de -1 < B< 1 (1+B cos 0)² '

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Q: 2) cos² I 6 F/6 sin2 T

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Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx

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

Q: sin2xdx 1) S7 o sin+x+cos4x

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Q: (b) Show that: cos(x cos 0) = Jo - 2J₂ cos 20 +2J4 cos 40 +

A: Solution (b):

Q: Find sec 0 if cos 0 ||

A: Our Aim is to find sec θ given that cos  θ=13

Q: Solve: dr = b (cos 0 dr + r sin 6 de)

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Q: 2, 3π cot²( -B) if sin 2ẞ 4 5

A: See the attachment.Explanation:

Q: Find the exact value of 23л sin 30 17 237 17 COS + cos sin 30 30 30

A: Let's find.

Q: 9) Solve for 0, 0<0 < 2n. 2 cos? 0 – 3 cos 0 + 1 = 0

A: Quadratic function has degree 2 and has two roots. We can solve a quadratic by completing squares or…

Q: What is 7(cos (pi/2) + i sin (pi/2)) divided by 8 (cos (3pi/4) + i sin (3pi/4)) equal to?

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Q: Find cos 20 if sin 0 = cos 20

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Q: If cos (z +) + sin (z -) If cos( x + 6 + sin ( x 3 A, then the number A = %3D

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Q: 6) Prove cos4x -sin+x= cos 2x

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Q: 2 sin- If p = cos -1 q, show that 4p? – 4pt + q? = 1.

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Q: 2 2 2 2 In the double-angle identity cos 2x= cos x- sinx, replace cos x with 1- sin x to obtain a…

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Q: Show that n. In(cos 2k+2) = - In (2"+ sin 2n+2). k=0 Hint: sin 20 = 2 sin 0 cos 0.

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Q: b) (2 cos² B-1)² cos4 B-sin4 B = 1-2 sin² ß

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Q: 2 sin2 4x − 2 cos 4x = 1 if 0° ≤ x < 360° Please show all steps in clear handwriting or typed.…

A: Given: 2 sin2 4x-2cos 4x=1                 0°≤x≤360°

Q: (b) cos cos ( 13 ) 131 18 21 18 21 sin COS -sin 18 18

A: To evaluate the given trigonometric expression

Q: sec² i 6. dt

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Q: 13 If sec0 5 Show that 2 sin 0-3cos0 3D3 4 sin 0 –9 cos0

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Q: + i sin 12 22 = 2| cos 12 5m + i sin 12 5. Let z1 = 4 cos and 12 Find z,2, and

A: Given complex numbers are in polar form. For multiplication of polar numbers, the magnitudes are…

Q: COS 13п 15 COS Зл 15 + sin 13л 15 sin 3п 15 Answer: cos 10п 15 = cos 2П 3 = -1/2

A: NOTE: Refresh your page if you can't see any equations. . the given expression is

Q: Graph one complete cycle for each of the following. In each case, label the axes accuratelyand state…

A: Consider the given function y=12sec3x Since the period of secx is 2π Therefor, the period of the…