The general solution of $\sin x - \cos x = \sqrt 2 $, for any integer $n$ is
$n\pi $
$2n\pi + \frac{{3\pi }}{4}$
$2n\pi $
$(2n + 1)\,\pi $
If $K = sin^6x + cos^6x$, then $K$ belongs to the interval
Find the solution of $\sin x=-\frac{\sqrt{3}}{2}$
The general solution of the trigonometric equation $tan\, x + tan \,2x + tan\, 3x = tan \,x · tan\, 2x · tan \,3x$ is
The solution of $\frac{1}{2} +cosx + cos2x + cos3x + cos4x = 0$ is
If sum of all the solutions of the equation $8\cos x \cdot \left( {\cos \left( {\frac{\pi }{6} + x} \right) \cdot \cos \left( {\frac{\pi }{6} - x} \right) - \frac{1}{2}} \right) = 1$ in $\left[ {0,\pi } \right]$ is $k\pi $then $k$ is equal to :