Questions in trigonometry

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General value of $\theta $ satisfying the equation ${{\tan }^{2}}\theta +\sec 2\theta -=1$ is (Where m and n are integers)
The general value $\theta $ is obtained from the equation $\cos 2\theta =\sin \alpha ,$ is
$\sin 6\theta +\sin 4\theta +\sin 2\theta =0,$then $\theta =$
The general value of $\theta $ satisfying ${{\sin }^{2}}\theta +\sin \theta =2$ is
General solution of $\tan 5\theta =\cot 2\theta $ is
The equation $3{{\sin }^{2}}x+10\cos x-6=0$ is satisfied, if
If $\cos \theta +\cos 2\theta +\cos 3\theta =0$, then the general value of $\theta $ is
The general value of $\theta $ in the equation $2\sqrt{3}\cos \theta =\tan \theta $, is
If $\begin{vmatrix} \cos (A + B) & - \sin (A + B) & \cos 2B \\ \sin A & {\cos A} & {\sin B} \\ { - \cos A} & {\sin A} & {\cos B} \end{vmatrix} = 0$ , then B =
If $\sin 2\theta =\cos 3\theta $and $\theta $is an acute angle, then $\sin \theta $is equal to

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