$\sin 15^{\circ}$ નું મૂલ્ય શોધો.

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We have

$\sin {15^\circ } = \sin \left( {{{45}^\circ } - {{30}^\circ }} \right)$

$ = \sin {45^\circ }\cos {30^\circ } - \cos {45^\circ }\sin {30^\circ }$

$ = \frac{1}{{\sqrt 2 }} \times \frac{{\sqrt 3 }}{2} - \frac{1}{{\sqrt 2 }} \times \frac{1}{2} = \frac{{\sqrt 3  - 1}}{{2\sqrt 2 }}$

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મૂલ્ય શોધો. $\cot \left(-\frac{15 \pi}{4}\right)$

જો $(\sec \alpha + \tan \alpha )(\sec \beta + \tan \beta )(\sec \gamma + \tan \gamma )$

$ = \tan \alpha \tan \beta \tan \gamma $, તો $(\sec \alpha - \tan \alpha )(\sec \beta - \tan \beta )$$(\sec \gamma - \tan \gamma ) = $