Question

How do you express `4 cos^2 theta - sec theta + cot theta` in terms of `sin theta`?

Answer 1

`4(1-sin^2theta)-1/sqrt(1-sin^2theta)+sqrt(1-sin^2theta)/sintheta`

Explanation:

`(4cos^2theta−sectheta+cottheta)`

= `4(1-sin^2theta)-1/costheta+costheta/sintheta`

= `4(1-sin^2theta)-1/sqrt(1-sin^2theta)+sqrt(1-sin^2theta)/sintheta`