Question

Assertion: If x = 2 sin²θ and y = 2 cos²θ + 1 then the value of x + y = 3. Reason : For any value of θ, sin²θ + cos²θ = 1 ​

Answer 1

Both assertion and reason are correct and reason is the correct explanation for Assertion.

because if u solve by adding x and y, you get sin^2theta+cos^2theta+1= 2(sin^2theta+cos^2theta)+1= 2(1)+1=3

and as given in the reason, we have used the identity sin^2theta+cos^2theta=1 to solve the question and thus both A and R are correct and R is the correct explanation for A.