Question #49d56

1 Answer
Mar 30, 2017

see explanation

Explanation:

let's take the left hand side (abbr. LHS) to prove the right hand side (abbr. RHS)...


(csc x - sin x)/cos x

= \color(indianred)((1/sin x) -sin x)/cos x = \color(indianred)((1 - sin^2 x)/sin x)\times1/cos x

= (1 - sin^2 x)/(sin x cos x) = cos^cancel(2)x/(sin x cancelcos x)

= cos x/sin x = cot x \color(green)(\sqrt())