(9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

Q: cos(2 tan−1(x))

A: Given,

Q: b) Differentiate (i) (i) the following functions clearly showing your working y = cos (4x4) y =…

A: Let us differentiate the functions with respect to x in the next steps.

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

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

Q: Convert to cartesian Sin ()+ tan (0) %3D

A:

Q: Verify the identity sec-1 x = cos-1(1/x), for x ≠ 0.

A: According to the question, we have to verify the identity sec-1x=cos-11x. As the above function is…

Q: Show that Cosx dx 9- Sin 3D

A:

Q: e² tan (e²) b) dr I sec2 (e-) – 7

A:

Q: Find L{cos() + sin(;)}

A:

Q: Differentiate. H(t) = cos2(t)

A: answer = -2sin2t   explanation is given in the below step

Q: Si cos°(3x)sin (3x) – cos (3x) sin°(3x) dx

A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

Q: sin(3r) dr.

A: Given integral is,

Q: Differentiate. f(0) = 0 cos(0) sin(0)

A:

Q: Find sec(?) if tan(?) = 21/20 and cos(?)>0. sec(?) =

A:

Q: Verify the trigonometric identity sin(z - 1/2) = - cos(z)

A:

Q: tan(cos-1(x/4))

A: We will consider a right triangle where adjacent= x and hypotenuse= 4 In this triangle

Q: 2. Find exact value of (a) sin-(-1) (b) cos-11 (c) tan-1 /3 (d) sin(sin¬' 0.8) (e) tan-'(tan ) (f)…

A: (a) Consider the given expression: sin-1-1 Sine gives negative one as it value at -π2. Therefore,…