Question : If $\sin5\theta = \cos 20° (0°<\theta<90°)$, then the value of $\theta$ is:
Option 1: 4°
Option 2: 22°
Option 3: 10°
Option 4: 14°
Answer (1)
21st Jan, 2024
Correct Answer: 14°
Solution :
Given:
$\sin5\theta = \cos 20° (0°<\theta<90°)$
We know, $\cos 20°=\cos(90°-70°)=\sin70°$
So, $\sin5\theta=\sin 70°$
$⇒5\theta=70°$
$\therefore \theta=14°$
Hence, the correct answer is 14°.
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