Question

Simplify cos x tan x + sin x cot x = ?

Answer 1

`sinx+cosx`

Explanation:

Identities.

`color(red)bb(tanx=sinx/cosx)`

`color(red)bb(cotx=cosx/sinx)`

`cosxsinx/cosx+sinxcosx/sinx`

`cancelcosxsinx/cancelcosx+cancelsinxcosx/cancelsinx`

`sinx+cosx`