Question

If Sin A +cosA =2,find the value of sin2A and cos2A

Answer 1

Step-by-step explanation:

sin x + cos x = 2

square both sides

(sin x + cos x)² = 4

=> sin²x + cos²x + 2 sin x cos x = 4

=> 1 + 2 sin x cos x = 4

=> 2 sin x cos x = 4 - 1

=> 2 sin x cos x = 3

therefore sin 2x = 3

[ 2 sin x cos x = sin 2x ]