Question

How do you simplify the expression `costhetacottheta+sintheta`?

Answer 1

`csctheta.`

Explanation:

The Exp.`=costhetacottheta+sintheta`

`=(costheta)(costheta/sintheta)+sintheta`

`=cos^2theta/sintheta+sintheta`

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

`=1/sintheta`

`=csctheta.`