The value of $\theta $ in between ${0^o}$ and ${360^o}$ and satisfying the equation $\tan \theta + \frac{1}{{\sqrt 3 }} = 0$ is equal to
$\theta = {150^o}$ and ${300^o}$
$\theta = {120^o}$ and ${300^o}$
$\theta = {60^o}$ and ${240^o}$
$\theta = {150^o}$ and ${330^o}$
If $\tan (\cot x) = \cot (\tan x),$ then $\sin 2x =$
If $\sqrt 3 \cos \,\theta + \sin \theta = \sqrt 2 ,$ then the most general value of $\theta $ is
If $\tan (\pi \cos \theta ) = \cot (\pi \sin \theta )$, then $\sin \left( {\theta + \frac{\pi }{4}} \right)$ equals
The set of angles btween $0$ & $2\pi $ satisfying the equation $4\, cos^2 \, \theta - 2 \sqrt 2 \, cos \,\theta - 1 = 0$ is
Find the general solution of $\cos ec\, x=-2$