Find the value of $sin (420^{\circ})$

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Solution

$sin (420^{\circ})$

$= sin (1 \times 360^{\circ} + 60^{\circ})$

$= sin 60^{\circ}$ since $sin (2 n π + θ) = sin θ$

$= \frac{\sqrt{3}}{2}$

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