Question

How do you simplify `sec(θ­)csc(θ­) - cot(θ­)`?

Answer 1

`tantheta`

Explanation:

`sec(θ­)csc(θ­) - cot(θ­)`
`=1/(costhetasintheta)-costheta/sintheta`

`=(1-cos^2theta)/(costhetasintheta)`

`=sin^2theta/(costhetasintheta)=sintheta/costheta=tantheta`