Question

Simplify the expression using trigonometric identities (csc θ – csc θ · cos^2 θ).

options:


A)


sin^2 θ


B)


sin θ · tan θ


C)


sin^3 θ


D)


sin θ

Answer 1

B because it equals out to 0 if u use the format

Answer 2

Answer:

Solution given:

cscθ -cscθcos²θ

taking common

cscθ(1-cos²θ)

we have

1-cos²θ=sin²θ and cscθ=1/sinθ

now

1/sinθ*sin²θ

=sinθ

so

D)

sin θ is a required answer.