Question

How do you prove `sec^2x / tanx = secxcscx`?

Answer 1

see below

Explanation:

Left Side:`=sec^2x/tan x`

`=(1/cos^2x)/(sin x/cosx)`

`=1/cos^2x *cosx/sinx`

`=1/(cosxsinx)`

`=1/cosx * 1/sinx`

`=secxcscx`

`=`Right Side