Find the value of $sin (210^{\circ})$

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Solution

given, $sin (210^{\circ})$

$= sin (180^{\circ} + 30^{\circ})$

$= - sin 30^{\circ}$ since $sin (π + θ) = - sin θ$ where $θ$ is in third quadrant.

$= \frac{- 1}{2}$

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