Question

How do you verify the identity `cos(pi/2-x)/sin(pi/2-x)=tanx`?

Answer 1

Since

`cos(pi/2-alpha)=sinalpha`

and

`sin(pi/2-alpha)=cosalpha`,

you get:

`cos(pi/2-x)/sin(pi/2-x)=sinx/cosx=tanx`