Question

The value of (sinA+cosA)² +(sinA -cosA )²​

Answer 1

Step-by-step explanation:

= (sinA + cosA)2 + (sinA - cosA)2

= sin A Square+ cos A square + 2sinA CosA + sinA square + cosA square - 2 sinAcosA

= 2( sinA square + cosA square)

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Answer 2

( sin A + cos A )² + ( sin A - cos A )²

$\sf{⇒ cos² A - 2cos A sin A + sin² A + ( cos A + sin A ) ² }$

$\sf{⇒ cos² A - 2cos A sin A + sin² A + cos² A + 2 cos A sin A + sin² A }$

$\sf{⇒ 2 cos² A + 2 sin² A }$

$\sf{⇒ 2 }$