જો $2{\cos ^2}\theta - 2{\sin ^2}\theta = 1$,તો $\theta  =$ .....$^o$

  • A

    $15$

  • B

    $30$

  • C

    $45$

  • D

    $60$

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જો $cosec^2\theta $ = $\frac{4xy}{(x +y)^2}$ હોય તો 

$\sqrt 2 + \sqrt 3 + \sqrt 4 + \sqrt 6 = . . ..$

  • [IIT 1975]

${\sin ^2}\frac{\pi }{8} + {\sin ^2}\frac{{3\pi }}{8} + {\sin ^2}\frac{{5\pi }}{8} + {\sin ^2}\frac{{7\pi }}{8}$ =

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 : $\cos 6 x=32 x \cos ^{6} x-48 \cos ^{4} x+18 \cos ^{2} x-1$