Solve the following to find its value in terms of trigonometric ratios.
(sinA + cosA)(1 - sinAcosA)

A. sin³A + cos³A

B. sin²A - cos²A

C. [cosA - sinA][sin²A + cos²A]

D. sin³A - cos³A

Answer: Option A

Solution(By Examveda Team)

(sinA + cosA)(1 - sinA.cosA)
= (sinA + cosA)[sin²A + cos²A - sinA.cosA]
= (sin³A + cos³A)