Question

(sin A – cos A)^2 is equal to _____

(a) 1 + 2sin A cos A

(b) 1 – 2sin A cos A

(c) 2sin A cos A – 1

(d) 2sin A cos A + 1

I have been asked this question in semester exam.

This interesting question is from Trigonometric Identities in chapter Trigonometry of Mathematics – Class 10

Answer 1

Correct option is (b) 1 – 2sin A cos A

The best explanation: (sin A – cos A)^2 = sin^2 A + cos^2 A – 2sin A cos A

= 1 – 2sin A cos A