Questions in trigonometry

Select	Question
	If $\cos \theta =-\frac{1}{\sqrt{2}}$and $\tan \theta =1$, then the general value of $\theta $is
	If $\sin (A+B)$=1 and $\cos (A-B)=\frac{\sqrt{3}}{2},$then the smallest positive values of A and B are
	The smallest positive angle which satisfies the equation $2{{\sin }^{2}}\theta +\sqrt{3}\cos \theta +1=0$, is
	$\cot \theta =\sin 2\theta (\theta \ne n\pi $, n is integer), if $\theta =$
	The value of $\theta $ satisfying the given equation $\cos \theta +\sqrt{3}\sin \theta $ = 2, is
	If $\cos A\sin \left( A-\frac{\pi }{6} \right)$is maximum, then the value of A is equal to
	If $\cos {{40}^{o}}=x$ and $\cos \theta =1-2{{x}^{2}}$, then the possible values of $\theta $lying between ${{0}^{o}}$and ${{360}^{o}}$is
	The only value of x for which ${{2}^{\sin x}}+{{2}^{\cos x}}>{{2}^{1-(1/\sqrt{2})}}$ holds, is
	If $(1+\tan \theta )(1+\tan \varphi )=2$, then $\theta +\varphi $=
	If $\tan (\pi \cos \theta )=\cot (\pi \sin \theta ),$then the value of $\cos \left( \theta -\frac{\pi }{4} \right)$=