By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ - 20cos3θ + 5cosθ Also, express sin5θ as powers of sinθ.

Q: Find sin(cos^-1 1/5)

A: Here we have to find, sincos-115 ................ (1) Let,  cos-115=t⇒cost=15

Q: verify the trigonometric identites 2-cos2 x/sinx= cscx +sinx

A:

Q: to find the 12 Evaluate sin- exact value.

A: Given that

Q: Add 1/sin theta  + 1/cos theta

A: We know 1sinθ=cosecθ 1cosθ=secθ

Q: 1+cos2x 3. cotx sin 2x

A:

Q: True or False sin2θ =1- cos2θ.

A: We can prove or disprove trigonometric identities using trigonometric table values of angles . For…

Q: Verify the identity: (cos 4x - cos 2x)/(sin 2x - sin 4x) = tan 3x

A:

Q: sin20 de 1+cos²0

A:

Q: Verify the identity: sin²x (1+ncot²x) + cos²x (1+tan²x) = sin²x(n+cot²x) + cos²x(n+tan²x)

A:

Q: Use right triangles to explain why cos-1 x + sin-1 x = p>2.

A: given: a right angled triangle. the given expression is: sin-1(x)+cos-1(x)=π2

Q: ÷(sin9t + sin5t)

A:

Q: How does -cos(3t)sec(3t) equal -1?

A: given  -cos(3t)sec(3t) = -1

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.