Write the value of (-330^ ). - Vidyadip

Question

Write the value of $\sin \left(-330^{\circ}\right)$.

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Answer

$\begin{aligned} \sin \left(-330^{\circ}\right) & =-\sin 330^{\circ} \quad \because \sin (-\theta)=-\sin \theta \\ & =-\sin \left(360^{\circ}-30^{\circ}\right) \\ & =-\left[-\sin 30^{\circ}\right] \\ {[\because \sin (2 \pi} & -\theta)=-\sin \theta]=\sin 30^{\circ}=\frac{1}{2}\end{aligned}$

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