The least difference between the roots, in the first quadrant \[\left( 0\le x\le \frac{\pi }{2} \right),\] of the equation \[4\cos x(2-3{{\sin }^{2}}x)+(\cos 2x+1)=0\]is

The least difference between the roots, in the first quadrant \[\left(

1.	The least difference between the roots, in the first quadrant \[\left( 0\le x\le \frac{\pi }{2} \right),\] of the equation \[4\cos x(2-3{{\sin }^{2}}x)+(\cos 2x+1)=0\]is
A.	\[\frac{\pi }{6}\]
B.	\[\frac{\pi }{4}\]
C.	\[\frac{\pi }{3}\]
D.	\[\frac{\pi }{2}\]
Answer» B. \[\frac{\pi }{4}\]

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The least difference between the roots, in the first quadrant \[\left( 0\le x\le \frac{\pi }{2} \right),\] of the equation \[4\cos x(2-3{{\sin }^{2}}x)+(\cos 2x+1)=0\]is

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