A) 0
B) 1
C) 2
D) infinite
Correct Answer: A
Solution :
| \[(sinx-\sin 3x)+2sin2x=3\]\[\Rightarrow \]\[-\,2\sin x\cos 2x+2\sin 2x=3\]\[\Rightarrow \]\[2\sin x\cos 2x-2\sin 2x+3=0\] |
| \[2\sin x\cos 2x-2\sin 2x+(si{{n}^{2}}x+{{\cos }^{2}}x)+\]\[(si{{n}^{2}}2x+{{\cos }^{2}}2x)+1=0\]\[\Rightarrow \]\[{{(1-sin2x)}^{2}}+{{(\sin x+\cos 2x)}^{2}}+{{\cos }^{2}}x=0\] |
| \[\Rightarrow \]No root |
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