Question

If sin $\theta$, cos $\theta$ are the roots of the equation $x^2-\sqrt{2}x+\frac{1}{2}=0$, then $\theta$ is equal to

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$sin\theta +cos\theta =\sqrt{2}\Rightarrow sin\theta cos\theta =\frac{1}{2}\Rightarrow sin2\theta =1$