Question

Solve this trigonometry sum and please provide an explanation so that I can understand how you have cracked this probem.
(SinA + CosA)² + (SinA - CosA)²

Answer 1

Answer:-2

Clear Explanation:

=>(SinA+CosA)²=Sin²A+Cos²A+2(SinA)(CosA).

=>(SinA-CosA)²=Sin²A+Cos²A-2(SinA)(CosA).

=> Sin²A+Cos²A+2.sinA.cosA+sin²A+ cos²A-2.sinA.cosA

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

[where sin²A+cos²A=1]

=>Cancel,+2.sinA.cosA & -2.sinA.cosA

=>1+1=2

Hope it helps you.

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