MCQ
The period of the function $\sin \left( {\frac{{2x}}{3}} \right) + \sin \left( {\frac{{3x}}{2}} \right)$ is
- A$2\pi $
- B$10\pi $
- C$6\pi $
- ✓$12\pi $
Period of $\sin \,\left( {\frac{{3x}}{2}} \right) = \frac{{2\pi }}{{3/2}} = \frac{{4\pi }}{3}$
$L.C.M.$ of $3\pi $ and $\frac{{4\pi }}{3}$= $12\pi $.
Hence period is $12\pi $.
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