Question

How do you simplify `tan theta (cot theta + tan theta)`?

Answer 1

`f(x) = tan x(cot x + tan x) =`

`= (sin x/cos x) (cos x /sin x + sin x/cos x) =`

`= (sin x/cos x)[1/(sin x.cos x)]`=

`= 1/cos^2 x`