Answer:
The value of displacement x will be
maximum, when the value of \[\text{ sin}\left( \omega t+\theta \right)\]is
maximum. It will be so if
\[\text{ sin}\left(
\omega t+\theta \right)=1=\sin \pi /2\]or\[\omega t+\theta =\frac{\pi }{2}\]or\[\omega
t=\frac{\pi }{2}-\theta \] \[\therefore \] \[t=\left(
\frac{\pi }{2\omega }-\frac{\theta }{\omega } \right)\]
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