Question

How do you verify the identity `1/(tanxcscxsinx)=cotx`?

Answer 1

see below

Explanation:

Left Hand Side:

`1/(tan x cscx sinx )=1/(sinx /cosx *1/sinx *sinx`

`=1/(sinx /cosx *1/cancel(sinx) *cancelsinx`

`=1/(sinx /cosx)`

`=cosx/sinx`

`=cot x`