જો $2\sec 2\alpha = \tan \beta + \cot \beta ,$ તો $\alpha + \beta =. . . .$
$\frac{\pi }{4}$
$\frac{\pi }{2}$
$\pi $
$2\pi $
જો $A + B + C = \frac{\pi }{2}$ થાય તો $tanA\,\, tanB + tanB\,\, tanC + tanC\,\, tanA$ =
જો $A + B + C = {180^o},$ તો $(\cot B + \cot C)$ $(\cot C + \cot A)\,\,(\cot A + \cot B) = . . . .$
જો $x\, sin \theta = y\, sin \, \left( {\theta \,\, + \,\,\frac{{2\,\pi }}{3}} \right) = z\, sin \, \left( {\theta \,\, + \,\,\frac{{4\,\pi }}{3}} \right)$ હોય તો
$2\sin A{\cos ^3}A - 2{\sin ^3}A\cos A = $
જો $a\tan \theta = b$, તો $a\cos 2\theta + b\sin 2\theta = $