aresin(sin(-5). 3 arcsin( sin( – sin(-"#))- 4 arccos( cos(- 6. IT arccos( cOS 3 II

Q: a. Express x = --3-8ż in its trigonometric form r (cos(0) + i sin(0)) with 0 ≤ 0 < 2. Give your…

A: a) x=-3-8ib) 2+5i2+2i

Q: (cos(4x))^2=___+____cos=(___x)

A: By double angle formula , we have By taking A=4x, we get

Q: cos(2 tan−1(x))

A: Given,

Q: 3. cos x +sin x- cos(2x) sin(2x), cos(3x), 4 8. ...

A:

Q: 11.) cos os (sin-1 -tan-1%) 12.) tan (arccos %- arcsin (-12/13))

A:

Q: cos (arctan S (B) - arcsin (3)) - 5 5

A:

Q: cos 2x – cos x lim sin?

A: To evaluate: limx→0cos2x-cosxsin2x Solution: We know, cos2x=2cos2x-1  ..(1)sin2x=1-cos2x      ..(2)…

Q: (sin 5x + cos 5x)

A:

Q: tan(e) cos(0) - sec(0)

A:

Q: | sin' cos“ 4 x

A:

Q: sin(8x)cos(4x)+cos(8x)sin(4x)

A: We will find the value of the given trigonometric expression in the following step.

Q: CoS 2X sin x,co

A:

Q: Cos 2x cos X-sin 2x sin x=radical 3/2. Use 0

A:

Q: value of cos x is given. Find sin x and 3T xET, 15 X= 17'

A:

Q: sin 2x cos 2X I+ 3 cos4X

A:

Q: Sin(2x)Cos(nx) da

A: Law :  2sinAcosB = sin(A+B) + sin(A-B)

Q: 3下 2 cos x 1-Sin x

A:

Q: Evaluate the limit.

A: limt→01-cos2tsin23t

Q: cos (2 sin-' (-}) tan-' (tan ())

A: To find the exact value

Q: / sin 3r cos 3xdx

A:

Q: snip

A:

Q: arc cos XY VI-x²

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

Q: 1+cos 4x dx 1-cos 4x Evaluate

A:

Q: 4л coS 씀Cos 즙Cs -sin sin 15 15 15

A: We have to find the exact value cosπ15cos4π15-sinπ15sin4π15.

Q: 6. cos A = - 17 and cos B = -, with A and B in QIII.

A:

Q: sin 2x cos 3х dx

A:

Q: sin2x -dp- cos x+cos*x-2cos?x

A:

Q: Ask the paper questions 2-8

A:

Q: е. cos(arcos(-.2)) g. sec(arcsin(3/5)) i. tan(arcos(x/r))

A: We have to find the value of above trigonometric expressioslns. Please see the explanation below..

Q: 1) cos- 1 2 3) sin-1 V3 5) cos-.

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

Q: | sin(4x + 3)cos(3x – 5)dx -

A: We have to solve integral

Q: 2 cos x+3 cos x=2 2 Cos²,

A: Given,   2 cos2x+3 cos x=2

Q: sin 0- cos 0 = V2

A:

Q: [sin³ (2) cos(4) dx

A: Follow the procedure given below.

Q: Verify the identity.

A: Given: verify the identity cos3x+cos5xcos3x-cos5x=cotxcot4x we know that…

Q: 1) cos- 0 V3 3) cos-! 5) sin--1 7) cos-1

A:

Q: cos 2x+1 = 1+ tan?x 2 cos4x

A:

Q: 1 1. sec-1 x = cos-1 = cos

A: we have to show that the given relation.

Q: •π 2 (sin³r)√1 (sin³ x)√1 + cos x dx

A: Given problem:-

Q: 2. cos?(2x) – sin²(2x) = = Cos 4x

A: We have to proof

Q: 3. у %3D tan1(sinh 2x) Зсosh-1 (csc) 4. у %3 CSC

A:

Q: 3 1 - dx 2 2. cos sin X

A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

Q: Sin'0+ Cos 0 =-(Cos40+ 3) 4 %3D

A:

Q: 5. cos (sin 5.

A: We have to solve given expression.

Q: [cos 20-i sin20cos 30+ i sin301² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De Moivre's theorem?

A: We have to solve given Questions.

Q: cos 2x 17. cos x-sin x

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

Q: sec(x)cos(3x)=0 from [-pi/2, pi,2]

A: sec x cos 3x=0          [-π/2,π/2] sec x (4 cos3x - 3 cos x) = 0 [cos 3x= 4 cos3x - 3 cos x] 4 sec x…

Q: (* sin - 2y cos )d = 0. dr+2ry cosdy COS

A: Find the attachment

Q: | sin5 cos cos – dx 3

A: The given integral is ∫sin5x3cosx3dx

Q: |2x cos (x² -5) х cos

A: To find value of ∫2xcosx2-5dx Solution: Let substitute t=x2-5 Differentiating both sides with…