Mathematics Trigonometry questions from JEE Main 2006.
The number of values of $x$ in the interval $[0,3 \pi]$ satisfying the equation $2 \sin ^2 x+5 \sin x-3=0$ is
If $0 < x < \pi$ and $\cos x+\sin x=\frac{1}{2}$, then $\tan x$ is