Question

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

Answer 1

Simplify trig expression

Explanation:

`sin x(cot x + tan x) = sin x(sin x/(cos x) + cos x/(sin x)) =`
`= ((sin x)(cos^2 x + sin^2 x))/(sin x.cos x) = sin x/(sin x.cos x) =`
`1/cos x = sec x`