Question

11. If sin 0 = V3 cos 0,0° << 90°, then is equal to (a) 30° (b) 45° (c) 60° (d) 90°
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Answer 1

Answer:

The correct answer is option (c)

Step-by-step explanation:

Given  $\sin\theta=\sqrt 3\cos\theta$

          $\displaystyle \Rightarrow \frac{\sin\theta}{\cos\theta}=\frac{\sqrt 3\cos\theta}{\cos\theta}\\\\\Rightarrow \tan\theta=\sqrt 3$since $\tan\theta=\frac{\sin\theta}{\cos\theta}$

         $\Rightarrow \theta=60^\circ$, since we know that $\tan 60^\circ=\sqrt 3$