Question

How do you prove `Csc(x) - Cos(x)Cot(x) = Sin(x)`?

Answer 1

see below

Explanation:

Left Side:`=1/sinx - (cosx cosx/sinx)`

`=1/sinx -cos^2x/sinx`

`=(1-cos^2x)/sinx`

`=sin^2x/sin x`

`=sinx`

`=`Right Side