$\frac{{\tan \,\left( {{\textstyle{{3\,\pi } \over 2}}\,\, - \,\,\alpha } \right)\,\,\,\cos \,\left( {{\textstyle{{3\,\pi } \over 2}}\,\, - \,\,\alpha } \right)}}{{\cos \,(2\,\pi \,\, - \,\alpha )}}$ $+ cos \left( {\alpha \,\, - \,\,\frac{\pi }{2}} \right) \,sin (\pi -\alpha ) + cos (\pi +\alpha ) sin \,\left( {\alpha \,\, - \,\,\frac{\pi }{2}} \right)$ =
$0$
$1$
$-1$
એક પણ નહીં
જો $\sin \theta+\cos \theta=\frac{1}{2}$ આપેલ હોય તો $16(\sin (2 \theta)+\cos (4 \theta)+\sin (6 \theta))$ ની કિમંત મેળવો.
જો $\cos \left( {\alpha + \beta } \right) = \frac{4}{5}$ અને $\sin \left( {\alpha - \beta } \right) = \frac{5}{{13}}$,કે જ્યાં $0 \le \alpha ,\beta \le \frac{\pi }{4}$. તો $\tan 2\alpha $ મેળવો.
$\frac{{\sec 8A - 1}}{{\sec 4A - 1}} = $
$\frac{1}{{\tan 3A - \tan A}} - \frac{1}{{\cot 3A - \cot A}} = $
જો $2{\cos ^2}\theta - 2{\sin ^2}\theta = 1$,તો $\theta =$ .....$^o$