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

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Answer 1 · 2015-07-22T17:14:11

cosx (sinx + $cos^2$ x)

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

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

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

Answer 2 · 2015-07-23T02:35:35

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

#(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

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