1. cos t (1 + tan²t) sin ß sec ß + cos ß csc ß 2.

Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2=…

Q: 2) Find the exact simplified value. * (ese(-) TC cot-1 CSC 2.

A: We are given,  .

Q: 5. Differentiate y = csc z(x + cot x).

A:

Q: 4 cos x + 2 sin r = 2 COS

A: As we know, Sin2x + cos2 x = 1 Since the interval is not given so we have to find general solution

Q: Differentiate.

A:

Q: tan x - cot x Cos 2x Cot X t tanX

A: Given: tanx-cotxcotx+tanx=-cos2x

Q: 꺼니 Sin (t) dt Cos? CE)

A:

Q: CoS X By using the substitution u = sin x, find dx 1+ sin?x

A: Solve the infinite integral buly using substitution method

Q: cos x = sin 2x, x I SO 3.

A:

Q: 41. TT/3 sec 0 tan 0 de

A: The given problem is to evaluate the given definite integral over the given limits.

Q: sinxdx

A:

Q: 1. sin x csc x 5. cos x (tan x + 1)

A:

Q: sin = 0,2: sin e = e: sine =

A: sin is a function of theta and r

Q: sin? x cos“ x dx. 4

A: We have to find integration of sin²x.cos⁴x

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.