Question

How do you simplify `(cos^2 x)(tan x + cot x)`?

Answer 1

Simplify `(cos^2 x)(tan x + cot x)`

Ans: cot x

Explanation:

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

`= cos x/sin x = cot x`