A) 0
B) 5
C) 6
D) 10
Correct Answer: C
Solution :
We have, \[3{{\sin }^{2}}x-7\sin x+2=0\] \[\Rightarrow \] \[(3\sin x-1)(\sin x-2)=0\] \[\Rightarrow \] \[\sin x=\frac{1}{3}\] \[[\because \sin x-2\ne 0]\] \[\Rightarrow \] \[x={{\sin }^{-1}}\frac{1}{3},\pi -{{\sin }^{-1}}\frac{1}{3},2\pi +{{\sin }^{-1}}\frac{1}{3},\] \[3\pi -{{\sin }^{-1}}\frac{1}{3},4\pi +{{\sin }^{-1}}\frac{1}{3,}5\pi -{{\sin }^{-1}}\frac{1}{3}\]
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