Find the value of $\sin 15^{\circ}$
Find the value of $\sin 15^{\circ}$
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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