Question

How do you use the fundamental identities to simplify `sinthetasectheta+costhetacsctheta`?

Answer 1

`1/(costhetasintheta)`

Explanation:

Since

`sectheta=1/costheta` and `csctheta=1/sintheta`

you get

`sintheta/costheta+costheta/sintheta`

`=(sin^2theta+cos^2theta)/(costhetasintheta)`

`=1/(costhetasintheta)`