Question

What is Cot(x) / cos(x) ?

Answer 1

cosecx

Explanation:

`(cotx)/(cosx) \\ = (1)/(tanx) / cosx \\ = (1 / (sinx)/(cosx) ) / cosx \\ = (cosx)/(sinx) * (1)/(cosx) \\ = (1)/(sinx) \\ = cosecx`

Note that:

`tanx = (sinx)/(cosx)`

`cotx = (1)/(tanx) = (cosx)/(sinx)`

`cosecx = (1)/(sinx)`