Question

cosA+sinA= √2, then what is sin2A?

Answer 1

Hi...☺

Here is your answer...✌

Given that,

cosA+sinA = √2

Squaring both sides
we get ,

(cosA+sinA)² = (√2)²

cos²A+sin²A+2sinA cosA = 2

1+sin2A = 2

sin2A = 1

{ using, cos²A+sin²A = 1
and 2sinA cosA = sin2A }

Answer 2

Take A=45
Den put value so Sin2A=Sin2*45= Sin 90
Sin90= 1