Question

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

Answer 1

(a+b)whole square + (a-b) whole square = 2(a2+b2)

2(sin2a+cos2a)

2×1

=2

hence proved ...

Answer 2

HEYA !!!

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

L.h.s

sin²A + cos²A + 2.sin A.cos A + sin²A + cos²A - 2.sin A.cos A

=> 1 + 1

=> 2

HENCE PROVED ...

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HOPE IT HELPS UH ✌