Find (-/3 +i)25 O A. 27 2л 225 cos cos-+i sin- 3 В. cos-+i sin 3 6 C. None of the above. D. cos-+i sin- Е. +i sin cos-

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: Q4:B/Simplify [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's theorem?

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Q: Q4:B/Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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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: = 0; y(0) = 2.2, y'(0) = -8.7, y"(0) = 38.85. O y = (91/150)sin 1.5t - 0.2cos 1.5t + 2.4e^(-4t) O y…

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Q: sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin…

A: Solved below.

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: If u(s) = -11 ((s)°) (cos(s)), then: а) u' (s) = 11s (s)') sin(s) – 55s(s)*(cos(s)) – 11 ((s)°)…

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Q: 4 A. 1 B. 2 C. 3 D. 4 If the correct answer in (2) is equal to -, how many case/s is/are possible? 5…

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Q: 9. Find 14 values of S and R obtained from the difference equations: Sk41 = R, (1/cos(0.3S, )) %3D…

A: So this question is to be solved using Matlab code: I will share the input and output for this…

Q: Q3-Prove that (cos303cos³ 0-3cos 0 sin? 0)

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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: Q1: Determine -8 sec 7x (-4 cos? 7x + 6 tan 7x) dx. 32 sin 7x – 7 48 sec 7x + C 7 A -- В -224 sin 7x…

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Q: Approximate all solutions to 8.cos(x)2 –6.cos(x)+1 in the interval [0°,360°) X= degrees Round your…

A: The given equation is quadratic in cosx.

Q: If sin u  = 3/ 5 and sin v = 4/5  and that u and v  are  between  0 and π/2,   evaluate :     cos (…

A: given: sinu=35 sinv=45 and u and v are between 0 and π2. we have to evaluate cos(u-v)

Q: S Show that L(cos² 3t – sin² 3t)= 82+36

A: Using Laplace transform,

Q: e cosl – i e™ sin 1 + e¯ cos 1 - i e- sin 1 2 e cosl + i e™ sin 1 – e- cos 1 + i e¯I sin 1 -TT 2 e…

A: Simplify the given expression: Coshπ-i

Q: 57 where 2 tan 0 = <0 < 3T 3 Find sin 20 7 24 24 25 24 25 25 24 4,

A: By using sin(2x) formula in terms of tan(x).

Q: Find , where : = sin (x²) cos (y) COS 6.x sin (a) cos (y) 2.x sin (a) O2.x cos (2) 2r sin (2*) cos…

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Q: Q4/ Find only five of the following: 1-[t cos at 2-f(6 sin 2t – 5 cos 2t 6. 3+2S 3-[( 3 t5 – 2 t3+ 4…

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Q: Q4:B/Simplify [cos 20-i sin2018 [cos 30+ i sin30 1² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De…

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Q: Find sin2x, cos2x, and tan 2x if cosx - and x terminates in guadrant III. 13 sin 2x cos 2x tan 2x

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Q: 8. -dt 1+64t 2 sin-8 B. А. (). -1 2 tan 2 tan- 8 O c. D.

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Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

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: For large-k sin(h) 20k = 2 cos(h) – (9.302) 4h k3 and this gives for (Ao, A1, A2) the values sin(h)…

A: we have the equation  2σk=2cos(h)-sin(h)4h1k2+O1k3 when we divide this equation throughout by 2, we…

Q: 2c. Show that * (5 - ) 4 sin z - cos 2r + 3 -8 cos for every r.

A: To prove: 4sinx-cos2x+3 = 8cos4π4-x2 We know that cosx-y  = cosxcosy+sinxsiny and cos2x= 1-2sin2x

Q: 32. If 2 sin 0 cos 0 cos 0 =0, where 0 <0 < 2n, then the exact values of 0 are 57 0, 3 O0, 5. 7, ,…

A: Given : 2sinθcosθ - cosθ = 0 Where, 0 ≤ θ ≤ 2π To find : Exact value of θ?

Q: For sin(u/2), cos(u/2), and tan(u/2) given cos(u)=-sqrt2/3 and sin(u)>0 I got…

A: Given  cos(u)=−23sin(u)&gt;0

Q: The simplified form of cos ( - 5z) 5z) + sin 6 52) + sin (; + 52) O v3 cos 5x + v2 sin 5x O v2 cos…

A: This can be evaluated as:

Q: 1) z = 6| cos 3T +i sin 2 +i sin 6 W = 12] COS 6 Find 2.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40 1³[cos 20-i sin2015 using De…

A: The given expression,      cos 2θ-isin 2θ8cos 3θ+isin 3θ2cos 4θ+isin 4θ3cos 2θ-isin 2θ5 De Moivre's…

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. 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: 3 6. Show that [[[ y sinzdxdydz = (1– cos1). 2 COS %3D 00

A: We have to prove given integral

Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin3012 [cos 40+ i sin40]³[cos 20-i sin2015 using De…

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Q: 0. If 180° < 0 < 270° and cos e = -, find sin 20. %3D 13 O- 16V105 169 O 16/105 169 O sV105 169 O -…

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Q: Q4:B/Simplify [cos 20-i sin20][cos 30+ i sin301² [cos 40+ i sin40³[cos 20-i sin2015 using De…

A: Formula Used-  De Moivre's theorem: cosθ+isinθn=cos nθ+isin nθ cos mθ+isin mθcos nθ+isin nθ=cos…

Q: 19. For all positive angles less than 360°, if csc(2x +30°) = cos(3y- 15°), the %3D sum of x and y…

A: Given that csc(2x+30°)=cos(3y-15°) It is known that csc(x)=1sinx. So, 1=sin(2x+30°)cos(3y-15°)…

Q: 4. Express in the form a + jb, (i) 2(cos 30° +j sin 30°) (ii) 5(cos 57° -j sin 57°)

A: To write in the form of a+jb

Q: 23-Frove that. Cos3e - Cos'e- 3 Cos e Sin'e

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Q: Q3-Prove that (cos30=cos³ 0-3cos 0 sin? 0)

A: Using compound angle formula &amp; trigonometric identities.

Q: cost+cos4t+cos7t / sint+sin4t+sin7t = cot4t

A: SOLUTION-

Q: Solve for O on Co, 2T) 6 sinio + 9 cos 0 -9-0 2 Sin O + 3cos o -3=0 Sin O +los? = Sm?O =1- cos?O…

A: Form the given trigonometric equation in the quadratic equation than solve by factorisation.

Q: The simplified form of cos G- 13x) + sin + 13x V2 cos 13z + 2 sin 13æ O v3 cos 13z + sin 13x O cos…

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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: One of the correct steps to evaluate A sin²20d0 [² B cos 40d0 C) None Ⓒ//ww D do + sin²20d0 Ⓒ = [ √…

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Q: When r^2 = x^2 + y^2, we have x = rcos theta and y = rsin theta, and  When r^2 = y^2 + z^2, we have…

A: Consider the following: When r2=x2+y2 , then x=rcosθ  and y= rsinθ, When r2=y2+z2 , then y=rcosθ and…

Q: For #9 & 10 solve for all x in the interval [0,27). Round to 3 decimal places only when necessary.…

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