Math, asked by rahulvenkatesh62, 1 month ago

Prove that (sin+cos)2 + (sin- cos)2 = 2

Answers

Answered by Sirat4

0

Answer:

(sin+cos)2 + (sin- cos)2 = 2

LHS:

(sin+cos)² + (sin- cos)²

sin² + cos² + 2sincos + sin² + cos² - 2sincos

sin² + cos² + sin² + cos²

(remember: sin² + cos² = 1)

1 + 1

2 = RHS

Hence, proved

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