Question

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

Answer 1

cosx (sinx +`cos^2`x)

Explanation:

=`cos^2 x (tan x+cosx)`

= `cos^2x (sinx + cos^2x)/cosx`

= cosx (sinx +`cos^2`x)

Answer 2

I guess that the question might be:
Simplify: `(tan x + cot x)/sec^2 x` ?

Explanation:

#(sin x/cos x + cos x/sin x)(cos^2 x) =$

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