Question

Simplify `sintheta(csctheta+sinthetasec^2theta)`?

Answer 1

Please see below.

Explanation:

`sintheta(csctheta+sinthetasec^2theta)`

= `sintheta(1/sintheta+sinthetaxx1/cos^2theta)`

= `1+sin^2theta/cos^2theta`

= `1+tan^2theta`

= `sec^2theta`