Question

5. (sinA + cosA)²+ (sinA – COSA)²=how much?
(A) 1
(B) 2
(C) 3
(D) 4​

Answer 1

Step-by-step explanation:

this question's answer is option B - 2

Answer 2

(sinA+cosA)²+(sinA-cosA)²

=> Using (a+b)² = a² + b²+2ab

and (a-b)² = a² + b² -2ab....

=> sin²A+cos²A+2sinAcosA + sin²A+cos²A-2sinAcosA..

=> sin²A+cos²A + sin²A+cos²A....

=> using sin²∅+cos²∅ = 1...

=> 1+1

=> 2

B) 2 is correct....

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