Question

How do you multiply and simplify `(sinx+cosx)(secx+cscx)`?

Answer 1

`=(sinx + cosx)(1/cosx + 1/sinx)`

`=sinx/cosx + cosx/cosx + sinx/sinx + cosx/sinx`

`=tanx + 1 + 1 + cotx`

`=2 + tanx + cotx`

Hopefully this helps!