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If sinα=12,...

Question

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

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Solution

$s i n α = \frac{1}{2} \Rightarrow s i n α s i n 30$
$α = 30$
$3 s i n α - 4 s i n^{3} α = s i n 3 α$
$= s i n 3 \times 30$
$= s i n 90 = 1$

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