Question

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

Answer 1

Apply the identity `secbeta = 1/cosbeta` and the identity `tanbeta = sin beta/cosbeta`.

Explanation:

`=(1/costheta)/(sintheta/costheta) = 1/costheta xx costheta/sintheta = 1/sintheta`

Now apply the identity `1/sintheta = csctheta`:

`=csctheta`

Hopefully this helps!