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Circular Measurement of Angle

If sinα = 1...

Question

If $sin α = \frac{1}{2}$ , then find value of $3 sin α - 4 {sin}^{3} α$ .

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Solution

$s i n α = \frac{1}{2}$
$α = 30^{\circ}$
$3 s i n α - 4 s i n^{3} α$
$= 3 \times \frac{1}{2} - 4 \times \frac{1}{8}$
$= \frac{3}{2} - \frac{1}{2} = 1$

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