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Range of Trigonometric Ratios from 0 to 90 Degrees

Solve: 2cos...

Question

Solve: $2 cos 3 x - 1 = 0$ where $0 \leq x \leq \frac{π}{2}$

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Solution

$2 cos 3 x - 1 = 0$

$\Rightarrow cos 3 x = \frac{1}{2}$
$\Rightarrow cos 3 x = cos 60^{\circ}$
$\Rightarrow 3 x = 60^{\circ}$
$\Rightarrow x = 20^{\circ}$

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