Given that w = cos +i sin 7 find the value of 7' - 7 II2 – w). | j=1

Q: r=2(9+1)sin0

A: Since  Sin (0) = 0

Q: Verify the identity. 4 sec? y - 4 cot( - y) =- 4 sec? y - 4 cot (- y) - 4 (sec² y - = 4

A:

Q: Show that sin-1 v + cos-1 v = π/2 .

A: Given: sin-1 v+cos-1 v=π2

Q: sinx = 5/13, x E 5,1], then cosx =?

A: We are solving the problem by the property of trigonometry ratio.

Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: epresent 3 sin x + 6 cos x in a form A sin(x + p), use radians for p.

A:

Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: dy Find dif sin x + 2 cos 2y) = 1 dx

A:

Q: Determine a root of the equation sin x + 3 cos x – 2 = 0. Correct to four decimal places

A:

Q: dr de sin - r- cos + eª cos = 0

A:

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

A:

Q: Show that COS x dx a² – x² sin a 2а where a is some positive number.

A:

Q: Plot each complex number: 1. -3i 3 2. 1. -2 -1 5. -11 -2

A: In complex plane  z = x + iy    = (x,y)

Q: FIND SIN' A WHERE A= at b

A:

Q: 2 Cos4 Sin (sinz) de

A: Consider the integral  ∫cosxsin2sinxdx

Q: Verify the identity sin t - cos 2t = (2 sin t - 1)(sin t + 1).

A: sin t - cos 2t=(2sin t-1)(sin t +1)Formulascos 2t= 1-2sin2t

Q: Evaluate 3 cos z sin" e dz.

A:

Q: Verify that sin u − u cos u + C =∫u sin u du. Use FIRST part to show that      ∫π0 sin√x dx = 2π.

A: Our aim is to verify that ∫u sinu du=sin u-cos u+C. Using this integral to find the value of…

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: <{cos 7/½ + j sin 7) 5. Simplify 3. 3.

A:

Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

Q: Use the double-angle formula cos 2x = 2 cos x – 1 to evaluate the integral 1 1+ cos 2x dx

A: The given integral is ∫11+cos2xdx