A) 6
B) 1
C) 2
D) 4
Correct Answer: D
Solution :
Since, \[2\text{ }{{\sin }^{2}}x+5\sin x-3=0\] \[\Rightarrow \] \[(2\sin \,x-1)(\sin \,x+3)=0\] \[\Rightarrow \] \[\sin x=1/2\] \[(\because \sin x\ne -3)\] From figure, it is clear that the number of intersection points of\[y=\frac{1}{2}\]and\[y=sinx\]is 4. Hence, solutions of given equation in\[[0,3\pi ]\]is 4.You need to login to perform this action.
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