Question on: SS1 Mathematics - Trigonometric Ratios
Find the value of \(\theta\) in the equations \(\cos{3\theta} = \sin{2\theta}\)
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\(\cos{3\theta} = \sin{2\theta}\)
\[\sin(90{^\circ} - 3\theta) = \sin{2\theta}\]
\[90{^\circ} - 3\theta = 2\theta\]
\[90{^\circ} = 2\theta + 3\theta\]
\[90{^\circ} = 5\theta\]
\[\theta = \frac{90{^\circ}}{5} = 18{^\circ}\]
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