Math, asked by ashutoshg2507, 4 months ago

31 Prove the following:
(1) (sin A + cos A)2 + (sin A - cos A)2 = 2

Answers

Answered by iamsabharish

2

Step-by-step explanation:

Expanding the given expression we get

(cosA+sinA)

2

−(cosA+sinA)

2

=cosA

2

+sinA

2

+2cosAsinA−(cosA

2

+sinA

2

−2cosAsinA)

=2(2cosAsinA)

=4cosAsinA

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