Prove the identity:
(cot x sin x)(sec x – cos x) = sin2x
Calculation
Reason
This follows by the definition of cot x = cos x / sin x and sec x = 1 / cos x
This follows from canceling the sin x term.
This follows multiplying cos x through.
This follows from the Pythagorean identity 1 – cos2 x = sin2 x.