Question

Find (sinA+cosA)²+(sinA-cosA)²

Answer 1

Answer:

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(sinA + cosA)² + (sinA - cosA)²

= sin²A + cos²A + 2sinA.cosA + sin²A + cos²A - 2sinA.cosA

= 1 + 2sinA.cosA + 1 - 2sinA.cosA

= 1 + 1

= 2.

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Answer 2

$\sin {}^{2} (a) + \cos {}^{2} (a {}) + 2 \sin(a \cos(a) ) + \sin {}^{2} ( a) + cos {}^{2} a - 2cos \: a \: sin \: a$

$\sin {}^{2} a + \ \cos {}^{2} (a) = 1$

so ur ans is 2