Question

How do you prove `(1+cosx)/(tanx+sinx) =cotx`?

Answer 1

As follows

Explanation:

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

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

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

`=cosx/sinx=cotx =RHS`

Proved