$[1 - sin (3\pi - \alpha ) + cos (3\pi + \alpha )]$ $\left[ {1\,\, - \,\,\sin \,\left( {\frac{{3\,\pi }}{2}\,\, - \,\,\alpha } \right)\,\, + \,\,\cos \,\left( {\frac{{5\,\pi }}{2}\,\, - \,\,\alpha } \right)} \right]$ =
$sin \,2\alpha$
$- sin\, 2\alpha$
$1 - sin\, 2\alpha$
$1 + sin\, 2\alpha$
$A, B, C$ એ ત્રિકોણના ખૂણા હોય ,તો ${\sin ^2}A + {\sin ^2}B + {\sin ^2}C - 2\cos A\,\cos B\,\cos C = $
$\frac{1}{{\sin 10^\circ }} - \frac{{\sqrt 3 }}{{\cos 10^\circ }} =$
જો $0 < x < \frac{\pi }{4}.$ તો $\sec 2x - \tan 2x = $
જો $\cos \theta = \frac{1}{2}\left( {a + \frac{1}{a}} \right),$ તો $\cos 3\theta = . . .$
$2\sin A{\cos ^3}A - 2{\sin ^3}A\cos A = $