Question

How do you prove `cottheta/(csctheta-1)=(csctheta+1)/cottheta`?

Answer 1

Please see below.

Explanation:

`cottheta/(csctheta-1)`

= `cottheta/(csctheta-1)xx(csctheta+1)/(csctheta+1)`

= `(cottheta(csctheta+1))/((csc^2theta-1)`

= `(cottheta(csctheta+1))/cot^2theta`

= `(csctheta+1)/cottheta`