Question

How do you simplify `(cos theta csc theta)/tantheta`?

Answer 1

Use the following:
`csctheta=1/sintheta`

`tantheta=sintheta/costheta`

Explanation:

`(cos theta csc theta)/tantheta=((costheta)*1/sintheta)/(sintheta/costheta)`

`=costheta/sintheta*(costheta/sintheta)=(costheta)^2/(sintheta)^2=(costheta/sintheta)^2=(cottheta)^2=color(blue)(cot^2(theta))`