A) \[\frac{24}{25}\]
B) \[\frac{12}{25}\]
C) \[\frac{3}{4}\]
D) None of these
Correct Answer: A
Solution :
In \[\Delta {{C}_{1}}{{C}_{2}}Q\] |
\[\sin \left( \frac{\theta }{2} \right)=\frac{{{C}_{1}}Q}{{{C}_{1}}{{C}_{2}}}=\frac{3}{5}\] |
\[\cos \left( \frac{\theta }{2} \right)=\frac{{{C}_{1}}Q}{{{C}_{1}}{{C}_{2}}}=\frac{4}{5}\] |
\[\therefore \,\,\sin \theta =2\sin \left( \frac{\theta }{2} \right)\cos \left( \frac{\theta }{2} \right)\] |
\[=2\,\,\left( \frac{3}{5} \right)\,\,\left( \frac{4}{5} \right)=\frac{24}{25}\] |
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