jee-main 2014 Q69

jee-main · India · 09apr Standard trigonometric equations Solve trigonometric equation for solutions in an interval
The number of values of $\alpha$ in $[ 0,2 \pi ]$ for which $2 \sin ^ { 3 } \alpha - 7 \sin ^ { 2 } \alpha + 7 \sin \alpha = 2$, is:
(1) 3
(2) 1
(3) 6
(4) 4 
The number of values of $\alpha$ in $[ 0,2 \pi ]$ for which $2 \sin ^ { 3 } \alpha - 7 \sin ^ { 2 } \alpha + 7 \sin \alpha = 2$, is:\\
(1) 3\\
(2) 1\\
(3) 6\\
(4) 4
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