Question

How do you simplify the expression `tantheta/sectheta`?

Answer 1

`tantheta/sectheta=sintheta`

Explanation:

`tantheta/sectheta=(sintheta/costheta)/(1/costheta)`
`tantheta/sectheta=(sintheta/costheta)*(costheta/1)`

simplify by `costheta` we will have
`tantheta/sectheta=(sintheta/cancel(costheta))*(cancel(costheta)/1)`

`tantheta/sectheta=sintheta`