b. Express the following quotient in the form a + bi. 2[cos 345° + i sin 345°] 5 [cos 120° + i sin 120°]

Q: Express in the form a + bi where a and b are real numbers.

A: Here given equation is cos 2π/3 + i sin 2π/3 = cos 60° + i sin 60° = 1/2 + i 3/2

Q: Evaluate the following in the form of a + bi : (cos 30 + i sin 30 ) 4 A) -0.5 + 0.866i B В cos 120 +…

A:

Q: Express in the form a + bi where a and b are real numbers.

A:

Q: 13t 35л sin 18 35п 13t sin COS COS 36 18 36

A:

Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

A: The answer is found in step-2.

Q: 1. Which of the following statement is correct? 60° 4 A. x=8 B. sin60°=y/x C. sin30°=1/x D.…

A:

Q: Find the angle x in the interval [0  , 360 ) degrees satisfying each of the following information:…

A: To find angle x in the interval [0°,360°).

Q: Provide the following identities: sin´0 + 2sin0 + 1 1. 1+ sine %3D 1 – sine cos e 2

A:

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

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Q: Jo 17. cos² x sin? x dx

A:

Q: 6. Use Euler's Formula to prove the following identities: eio terio cos O ei0 -e-i0 %3D and sin 0 =…

A: We have by Euler's formula, eiθ=cosθ+isinθ.....1e-iθ=cosθ-isinθ....2 Then adding equation (1) and…

Q: C. Express each of the following as a sum or difference of circular functions. 1.3cos 70 cos50…

A:

Q: 1. (a) Use the Wallis cosine formula to evaluate [ cos' x dx.

A: We need to find  ∫0π2cos9xdx by using Wallis cosine formula. We know that,  Wallis formula ,  If  n…

Q: Which of the following equations could not be used to find the value of x? 23.6° 12 30 66.4° O…

A:

Q: T (b) fo 6 sin 20 cos² 20 ӨР

A:

Q: Express in the form a + bi where a and b are real numbers.

A: we have z = 12cos4π3+ isin4π3    Now 4π3= π+π3 hence z = 12cosπ+π3+ isinπ+π3               =…

Q: Solve the following trigonometric equations using the double angle identities on the in- terval 0 <…

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: valuate the following in the form of a + bi : (cos 30 + i sin 30 ) 4 (A) -0.5 + 0.866i B 4 cos 30 +…

A:

Q: Find the product of z1 & Z2, leave answer in trigonometric form: 235 (cos플 + isin) & z2 =: +i sin 3…

A: We know that for  z1 = r1 cos θ1 + i sin θ1  and  z2 = r2 cos θ2 + i sin θ2 z1·z2 = r1·r2 cosθ1+θ2 +…

Q: Given that z = 4 ( cos· 4 +i sin) and w = 1 – iv3. Find 4. %3D a) 2 w b) E c) arg (-), in radians as…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: 2. Write each of the functions in the form Aet cos Bt +iBed sin Bt, where a, B, A, and B are real…

A: To write each of the given function in the form  A* eatcos(bt)+Beat sin(bt) . We apply three…

Q: Find the quotient, and write it in rectangular form. 12( cos 470° + i sin 470°) 3( cos 110° + i sin…

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Q: 3. Use De Moivre's Theorem to find the identity of the following: a. cos 80 b. sin 90 C. cos 100 d.…

A:

Q: 1) Verify that the equation is an Identity. w Trig ida tte, diangs lat side t0 eguitl ti at sida tan…

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Q: Given sin 0 = , where < 60 < , determine the value of cos VTO 10 3/10 10 O 3V10 10 10

A: We use cos (x)=√(1-sin2x) and cos (x/2)=√((1+cosx)/2). Thus ,option c is correct answer.

Q: O Find the anfidanialtiner Sfaw da for fla)= 18 Cos (6x) 16- Sin? (6x) © fa) = ¿* (, +x) 9 + xe

A:

Q: Express in the form a + bi, where a and b are real numbers.

A: 20cos11π6+ i sin11π6

Q: Solve the following trigonometric equation for 0 ≤ 0 < 2π. Show your work. 4 cos²x 3 =

A:

Q: Find only five of the following: 1-[t? cos at 2-(6 sin 2t – 5 cos 2t ) |

A: as per the guidelines of the company we need to solve the first 3 subparts of a question ,as the…

Q: Use this reduction formula and your answer in part a) to find ſ cosª xdx and ſ cos® xdx.

A: To find ∫ cos4 x dx and ∫ cos6 xdx First we find ∫ cos4 x dx Apply integration reduction…

Q: d. Use the compound angle formulae to expand x, and x2 into the form A sin 100nt + B cos 100nt,…

A: Given,     x1=3.75 sin 100πt+2π9     x2=4.42 sin 100πt-2π5

Q: Write the following in terms of cos 0 only. sec 0

A:

Q: Simplify the following expressions and express in the form a + bi. (2cos () + 21 sin (9) (a) (1]

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

Q: 2 (cos 150° + i sin 150°

A: The given complex number is in Polar form, so we covert it into Cartesian form by using the…

Q: Which of the following is symmetric with respect to the line 0 Or = 2 cos 20 O p2 = 2 sin 20 Or =…

A: which of the following is symmetric with respect to the line π/2.

Q: What is the exact value of the cos ZXYZ? 7 6. Y Z. 8. 11 514

A:

Q: d. Use the compound angle formulae to expand x1 and x2 into the form A sin 100nt + B cos 100nt,…

A: Displacement caused by the vibration of beam is modelled by the equations x1=3.75sin100πt+2π9…

Q: 10. L{ cos (8t + 2) } (entry # 71)

A: To find  L{cos (8t+2)} we shall use  the following formula  1.  cos (A+B)=cos (A) cos(B)-sin (A)…

Q: Which of the following is not true? a) cos?t = 1+ sin²t b) sin?t = 1- cos²t c) csc?t = 1 + cot?t d)…

A: From the trigonometric relation: sin2t+cos2t=1 So, sin2t=1-cos2t Therefore, Option (b) is true and…

Q: What is the formula for cos (A/2)

A: We have to find a formula for cosA2

Q: 11. Write the following in the rectangular (exact) form: 20(cos(-60°) +i sin(-60°)) а. b. 6cis225°

A:

Q: Evaluate the following in the form of a + bi: (cos 30 + i sin30)^4

A: GIVEN: (cos 30 + i sin 30) 4

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

Q: Simplify the following by using Demoiver's theorem. (1 – cos 0 + i sin 0)6

A: Consider the expression: A=1-cos θ+i sinθ6……1   Demoiver's theorem states that: cos θ-isin θn=cos…

Q: Evaluate the given: So sin" () cosº () dz cos 10

A:

Q: Which of the following expressions is equal to the given expression below? 1-c O s 8x 1+c oS 4x V1 –…

A: 1-cos8x1+cos4x

Q: D. Express each of the following as a product of circular functions. 1.- sin(-20) + 3sin20 2. cos 3x…

A:

Q: do a) " (a > 1); t a + cos 9

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: COS Coso xdxx

A: ∫cos6x dxApplying reduction formula with n=6 := cos5x sinx6 + 56∫cos4x dxApplying reduction formula…