Question

Number of points in $[0,2\pi ]$ where $\sin x=\cos x$ is

• A. $3$
• B. $1$
• C. $0$
• D. $2$

Answer 1

The correct option is D $2$

We draw the graph of both $\sin x$ and $\cos x$ together and count the number of points where they intersect in the interval $[0,2\pi ]$
$2$ points of intersection indicate that there are $2$ points where $\sin x=\cos x$