Question

Simplify
sec x - tan x sin x

Answer 1

cos x

Explanation:

sec x - tan x sin x

`(1)/(cosx) - (sinx)/(cosx) * sinx\\\\(1)/(cosx) - (sin^(2)x)/(cosx)\\\\(1-sin^(2)x)/(cosx) \\\\(cos^(2)x )/(cosx) \\\\cosx`