Questions in trigonometry

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If $4{{\sin }^{2}}\theta +2(\sqrt{3}+1)\cos \theta =4+\sqrt{3}$, then the general value of $\theta $is
If $\cot \theta +\cot \left( \frac{\pi }{4}+\theta \right)=2$, then the general value of $\theta $ is
If $\cos 2\theta +3\cos \theta =0$, then the general value of $\theta $ is
If $\tan m\theta =\tan n\theta $, then the general value of $\theta $ will be in
If $\tan \theta -\sqrt{2}\sec \theta =\sqrt{3}$, then the general value of $\theta $ is
If $\sin \theta +\cos \theta =\sqrt{2}\cos \alpha $, then the general value of $\theta $ is
If $\tan \theta +\tan 2\theta +\tan 3\theta =\tan \theta \tan 2\theta \tan 3\theta $, then the general value of $\theta $ is
The solution of $3\tan (A-{{15}^{o}})=\tan (A+{{15}^{o}})$ is
The general value of $\theta $ satisfying the equation $\tan \theta +\tan \left( \frac{\pi }{2}-\theta \right)=2$, is
If $\cos 2\theta =(\sqrt{2}+1)\,\,\left( \cos \theta -\frac{1}{\sqrt{2}} \right)$, then the value of $\theta $is

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