If Z = cos +i sin then Z²-Z+1=... O -2 O -2i O 2

Q: in the form Acos(x+B) 2 Write 6 cos x+8 cos x--

A: Given 6 cos x + 8 cos x - π2  To write:  6 cos x + 8 cos x - π2  in the form A cos ( x + B)

Q: 2. Evaluate cos 0 sin 0 d0

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Q: OR = {(r, 0): 0 <r< 6 cos(30), 0 < 0 < n}

A: Follow the procedure given below.

Q: 1. Evaluate COS dır V1- 2 sin æ (7/6 (a) ( - z)e* dz (b)

A: To evaluate the given definite integrals.

Q: Find all solutions to 2 cos(0) = 1 on the interval 0 <0 < 27 %3D

A: Given : 2cosθ = 1

Q: If sin 0 + sin²O = 1, then cos40 + cos³0 + 2cosg = %3D %3D A) O B) -1 C) 1

A: To find: The value of cos4θ+cos8θ+2cos6θ. Given: The equation is sin θ+sin2θ=1. Formula used: The…

Q: 2+7 sin z 3. dz cos? z

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

Q: Given that 4 cos z - 2 sin z= a cos 2x + b, the values of a = %3D and ||

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Q: (a) cos(a + B) (b) sin(B al =

A: We will find the  required value

Q: Find the quotient where z1 and z2 are given Z2 below. zi = 24 (cos(171°) + i sin(171°)) Z2 = 4…

A: z1=24(cos171°+isin171°)=24ei171°z2=4(cos51°+isin51°)=4ei51°

Q: 8. sin 2a = Zsn AcosA 24 25 12 25 9. cos 2a =

A: 8sin(2α)=2sin(α)cos(α)Let…

Q: A = %3D (b) If cos (2a) – sin (2æ) = cos( %3D B =

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Q: If z = +i then Im(coshz) A) –sin1sinh4 B) cos1cosh4 e* +e* C) cos1 2 D) sin1cosh4 E) sin1

A: Topic:- hyperbolic function and complex number

Q: If sin x = A + B cos 2x + C cos 4x, then A = 2 B " с =

A: Since you have posted multiple questions we will answer first problem for you for remaining please…

Q: |17 Suppose that sin a + sin b = and cos a + cos b= 1. What is cos(a – b)? (A) V – 1 (B) (C) 를 (D)를…

A: Given that, sina+sinb=53             (1)cosa+cosb=1                  (2)

Q: Let z = 8(cos 50° + i sin 50°) and w=2(cos 30° + i sin 30°). Express in the form r(cos+ i sin 0):…

A: Here we can use the following formula to find the results eiθ=cos θ+i sinθande-iθ=cos θ-i sinθ

Q: Which of the following is equal to cos 0 1 - sin 0 1 + sin 0 [A] cos O 1 + csc 0 [B] csc 0 1 [C] sin…

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Q: (sinʼz)(cos²x) = (1 (1 – cos4x) Α. True В. False C. None of these

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Q: 4. use the Pythagorean Theorem to find the value of cos e. Given sin e %3D 5' A) Cos e %3D B) 3 Cos…

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Q: Find the exact value of s in [0,π) and cos s=-1/2

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Q: Show that 0 π/2 st sin? xdx TT/2 [ 0 cos? rdr 2

A: A detailed solution is given below.

Q: Which of the following are the solutions of cos X+ sin +x = 0 0 on the interval [0, 2n)? O 0, x O O…

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Q: Find all values of z satisfying the given equation. cos z = i sin z

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Q: 2 2 (5 cos? r* sin 0 drdodo: Tame 0 01

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Q: Find the highest point on the cardioid r = 1+ cos 0.

A: We cal solve the problem by doing the derivative and set it to zero for finding theta.

Q: 9 Find 0 if 0<0 < 2m and: b sin 0 = a cos 0 == C cos 0 = -1 %3D %3D Cos A sin? A = 1 cos? A = 1

A: Solution:- This can be calculated according to quadrant

Q: 137 What is the exact value of cos () 12 Võ+v2 4 4 4. 2

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Q: m -1 :If tan A = n tan B and sin A = m sin B, prove that cos A = n -1

A: Given that  tan A=n tan B sin Acos A=nsin Bcos B ................equation 1 also given that  sin A=m…

Q: determine ω0, R, and δ so as to write the given expression in the form u = R cos (ω0t − δ). 1.u = 3…

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Q: What must be the value of A so that cos(a +y) + cos(x – y) = A cos a cos y? %3D O 2 O -1/2 O-2 O 1/2…

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Q: > Example 3. Prove that sin? z + cos? z = 1. eiz 2 e2iz - 2+e- -2iz sin? , = Z 2i eiz + e e2iz + 2+…

A: We have top prove that sin2z+cos2z=1 We have,…

Q: If Z = sE) +i sin) . then Z-Z+1=.. = cos -2 2 -2i

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Q: Find all solutions to 2 cos(0) =1 on the interval 0 < 0 < 27

A: Proceed as shown below

Q: b. Given that z = el®, show that z" += 2 cos ne. Hence, show that cos 50 = 16 sint 0 – 112 sin² 0 +…

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Q: If Z +i sin( then Z-Z+1=... cos %3D 2 b 2- -2

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Q: +1- 2 cos 0 for Z E C., show z"+ = 2 cos(n@) that %3D

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Q: Find all values of z: z = 4(cos 90° + i sin 90°) for n=2

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Q: Let z=x+iy be a complex number such that coshz+0. Then Re(tanhz) is equal to " sinhxcoshx…

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Q: Q 4: prove that * cos (a ± B) = cosa cos ß7 sin a sin B

A: Prove the following formula

Q: If 0 = then 4 sin(0) = %3D cos(0) = %3D

A: Solution

Q: Find all values of 0, 0° < 0 < 360°, that satisfy 5 cos 20 + 7 sin 0+1 = 0

A: 5cos2x+7sinx+1=0REwriting we get:6-10sin2x+7sinx=0sinx=-12, sinx=65Combine all the…

Q: 1 and 0 < x < 2T, then x If cos x -

A: The equation is given by cos x = -12 and 0≤x≤2π To evaluate : The value of x

Q: Find the values of z satisfying cos Az = 0 2

A: Result : General Solution of  cosx=0 is x=(2n+1)π2

Q: b. Determine real (e/z) in terms of x and y. C. Use Euler's formula to prove that expression; = cos…

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Q: 15 A °, 12 sin(B) = cos(B) %3D tan(B) %3D sin(A) = cos(A) = 9, B.

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Q: (1) Given that z = 1-iV3, express z in the form r(cos e + i sin e) Hence write down z7 the form

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Q: 22-j is 1. -1+jZ If Z = cos 0 + j(1+ sin 0), show that the magnitude of

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Q: QIT, fird 3)itSin A=-3 with AE QIV and Cas B= -8 with BE b) Cos (A-B) 17 al Sin (A+B) c) Cos2B dl…

A: When multiple parts of a question are posted, we only solve the first three parts. Sorry for the…