જો $2{\cos ^2}\theta - 2{\sin ^2}\theta = 1$,તો $\theta =$ .....$^o$
$15$
$30$
$45$
$60$
જો $cosec^2\theta $ = $\frac{4xy}{(x +y)^2}$ હોય તો
$\sqrt 2 + \sqrt 3 + \sqrt 4 + \sqrt 6 = . . ..$
${\sin ^2}\frac{\pi }{8} + {\sin ^2}\frac{{3\pi }}{8} + {\sin ^2}\frac{{5\pi }}{8} + {\sin ^2}\frac{{7\pi }}{8}$ =
જો $\alpha ,\,\beta ,\,\gamma \in \,\left( {0,\,\frac{\pi }{2}} \right)$, તો $\frac{{\sin \,(\alpha + \beta + \gamma )}}{{\sin \alpha + \sin \beta + \sin \gamma }} = . . ..$
સાબિત કરો કે : $\cos 6 x=32 x \cos ^{6} x-48 \cos ^{4} x+18 \cos ^{2} x-1$