1.

Evaluate (sin x – cos x)2 + (sin x + cos x)2.

Answer»

(sin x – cos x)2 + (sin x + cos x)2 

= sin2 x + cos2 x – 2 sin x cos x + sin2 x + cos2 x + 2 sin x cos x 

= 2(sin2 x + cos2 x) = 2(1) = 2



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