Find W Leave your answer in polar form. z = √3| cos w = √6 cos O A. 7π 4 9μ 4 + i sin + i sin √2 T COS 2 OC. 3√2 cos 2 3π 7π 4 9μ 4 + i sin 2 7) + i sin 3π 322) B. 3√2 cos O D. 2 EN 2 + i sin 3π COS + i sin 2 BIN 3π 2

Q: 2. 3- va(c + ian ) - va(0+ in ) Z1 = + i sin + i sin COs 22 = cos

A: This is the problem of complex analysis.

Q: art 5x √5 sin³ (5) cos 4 (5) dx 6

A: ∫03π5sin5( 5x6)cos4( 5x6)dxas we know that sin2x + cos2x = 1 cos2x = 1 - sin2x

Q: 1) z = e(4+j3) lIn(6230°)

A:

Q: 2. Write each of the following numbers in the form of a + bi a) cos(3 – i) b) 2i sin h (4 – ni)

A: The given expressions are: a) cos3-i b) 2isinh4-πi Write each of the following numbers in the form…

Q: 1 Evaluate sin°(7#6 + 2ei®) do. 2ei d0. 2n Jo

A:

Q: 5) Given cose = 1/2, determine cos $2 a) H H

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: - 4cos3 0 sin 0

A: To find the value of  -4cos30sin0

Q: 17. y" + 3y" + 3y + y = 0, y(0) = 0, y'(0) = 1, y" (0) = 0

A: When the roots of  auxiliary equation are same:

Q: #1. Evaluate (4cis #2. Given Z1 = 5 (cos 15° + i sin 15°) and Z2 4 (cos 120° + i sin 120°) Z1 a.…

A:

Q: Express the complex number -2i in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2. NOTE:…

A:

Q: Find the exact length of r = 3 sin 0 + 4 cos 0. II

A:

Q: 1. The formula sinusinv 5(cos (u - v) - cos (u + v)] converts a product of sines to a of

A: sinusinv=12cosu-v-cosu+v

Q: Find zı*z2 and zı/z2. Write your answers in rectangular form (a + ib). 3, = 2(c0s + i in + i sin 8 +…

A:

Q: What are all of the solutions to the trigonometric equation 2 cos²0-2sin²0= -√3? O@=+2 and 0= 5x 6…

A:

Q: solue the diffova ial equeen solucthe diffeva tial equen -3X e Sin 3X

A: To solve a linear non homogenous  differential eqaution with constant coefficient follow: Rewrite…

Q: cos20 iii) modulus of complex z = 3 +- (cos0)² + i equal to a. V3 b.3 c. V2 d. 2 с.

A: Given

Q: Given z₁ = 8(cos 45° + i sin 45°) and z2 = 4(cos 210° + i sin 210°), what is 2122?

A: We are given that  z1 = 8(cos45°+ i sin45°)  z2 = 4(cos210°+i sin210°) We have to find z1*z2 We will…

Q: etermine the fifth roots of 32 cos 5 T 6 + i sin 5T 6

A: Solution :-

Q: 2)Rewrite sin5 x cos³x in terms of cos x: sin5 x cos³x = Rewrite sin5 x cos³ x in terms of sin x:…

A:

Q: 3. Express M =cos 3A+cos A and N = sin 3A+sin A as a product form. M = cot 2A. N Hence, show that

A: topic- trigonometry