Question

If $\frac{\sin^{2}\theta}{\cos\theta} + \sqrt{3}\tan\theta = 0$, then the general value of $\Rightarrow$is.

• A. $\tan\theta\sin\theta + \sqrt{3}\tan\theta = 0$
• B. $\tan\theta(\sin\theta + \sqrt{3}) = 0$
• C. $\Rightarrow$
• D. $\tan\theta = 0$

Answer 1

Answer: (C)

$\Rightarrow$

Answer 2

$\frac{2}{\sin\theta} = \frac{1}{\sin\theta\cos\theta}$ ⇒ $\Rightarrow$

$\Rightarrow$ $\sin\theta = 0$ $\Rightarrow$ or $\theta = 2n\pi \pm \frac{\pi}{3}$

$\Rightarrow$ $\tan^{2}\theta - \tan\theta - \sqrt{3}\tan\theta + \sqrt{3} = 0$.