If and , answer the…

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If

\cos \theta = -\dfrac{\sqrt{3}}{2}

and

180^{\circ} < \theta < 360^{\circ}

, answer the following: (a) Determine

\sin \theta

. (b) Identify the quadrant in which

\theta

lies. (c) Find the smallest positive value of

\theta

(in degrees) that satisfies the given information.

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