Question

What is `5costheta-8sectheta` in terms of `sintheta`?

Answer 1

`5costheta - 8/cos(theta)`

`costheta/costheta xx (5costheta)/1 - 8/costheta`

`(5cos^2theta)/costheta- 8/costheta`

`(5cos^2theta-8)/costheta`

`cos^2theta = 1-sin^2theta`

`(5(1-sin^2theta)-8)/costheta`

`(5-5sin^2theta - 8)/costheta`

`(-3-5sin^2theta)/costheta`