10th Class Mathematics Introduction to Trigonometry Question Bank Case Based (MCQs) - Introduction to Trigonometry

\[\sin \left( \frac{C}{2} \right)=\]

A) \[0\]

B) \[\frac{1}{2}\]

C) \[\frac{1}{\sqrt{2}}\]

D) \[\frac{\sqrt{3}}{2}\]

Correct Answer: B

Solution :

\[\angle C=60{}^\circ \]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\sin \left( \frac{C}{2} \right)=\sin \left( \frac{60{}^\circ }{2} \right)=\sin 30{}^\circ =\frac{1}{2}\]

So, option [b] is correct.