jee-main 2015 Q75

jee-main · India · 10apr Quadratic trigonometric equations
If $12 \cot^2\theta - 31 \csc\theta + 32 = 0$, then the value of $\sin\theta$ is:
(1) $\frac{3}{5}$ or $1$
(2) $\frac{2}{3}$ or $-\frac{2}{3}$
(3) $\frac{4}{5}$ or $\frac{3}{4}$
(4) $\pm\frac{1}{2}$
If $12 \cot^2\theta - 31 \csc\theta + 32 = 0$, then the value of $\sin\theta$ is:\\
(1) $\frac{3}{5}$ or $1$\\
(2) $\frac{2}{3}$ or $-\frac{2}{3}$\\
(3) $\frac{4}{5}$ or $\frac{3}{4}$\\
(4) $\pm\frac{1}{2}$