Question

How do you prove `cosxcotx = cscx - sinx`?

Answer 1

see below

Explanation:

Left Side: `=cosx cotx`
`=cos x xx cosx/sinx`

`=cos^2x/sinx`

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

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

`=cscx-sinx`

`=`Right Side