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

Vedclass pdf generator app on play store
Vedclass iOS app on app store

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 }}$

Similar Questions

Convert $6$ radians into degree measure.

The incorrect statement is

If in two circles, arcs of the same length subtend angles $60^{\circ}$ and $75^{\circ}$ at the centre, find the ratio of their radii.

If $\sec \theta + \tan \theta = p,$ then $\tan \theta $ is equal to

If $\cot x=-\frac{5}{12}, x$ lies in second quadrant, find the values of other five trigonometric functions.