The solution of the equation $4{\cos ^2}x + 6$${\sin ^2}x = 5$
The solution of the equation $4{\cos ^2}x + 6$${\sin ^2}x = 5$
- A
$x = n\pi \pm \frac{\pi }{2}$
- B
$x = n\pi \pm \frac{\pi }{4}$
- C
$x = n\pi \pm \frac{{3\pi }}{2}$
- D
None of these
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- [KVPY 2013]
If $a = \sin \frac{\pi }{{18}}\sin \frac{{5\pi }}{{18}}\sin \frac{{7\pi }}{{18}}$ and $x$ is the solution of the equatioin $y = 2\left[ x \right] + 2$ and $y = 3\left[ {x - 2} \right] ,$ where $\left[ x \right]$ denotes the integral part of $x,$ then $a$ is equal to :-
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