Verify the identity Sin x cos x2 12sin x cos x Choose the s

Verify the identity (Sin x - cos x)^2= 1-2sin x cos x

Choose the sequence of steps below that verifies the identity

a)(Sin x - cos x)^2=sin^2 x + 2 sin x cos x- cos^2 x = 1-2 sin x cos x

b)(Sin x - cos x)^2=sin^2 x -2 sin x cos x + cos ^2 x= 1-2 sin x cos x

c)(Sin x - cos x)^2=sin^2 - cos ^2 x = 1-2 sin x cos x

d)(Sin x - cos x)^2=sin^2 x +cos ^2 x = 1-2 sin x cos x

(Sin x - cos x)^2= 1-2sin x cos x

LHS : (Sin x - cos x)^2

expand using formula : (a+b)^2 = a^2 + b^2 +2ab

So, (Sin x - cos x)^2 = sin^2x + cos^2x - 2sinxcosx

= 1 - 2sinxcosx

Option b