Question

Find the general solutions of $3tan\frac{x}{2}+3=0$

• A. $x=2n\pi -\frac{\pi }{2}$
• B. $x=n\pi -\frac{\pi }{2}$
• C. $x=n\pi \pm \frac{\pi }{4}$
• D. $x=2n\pi -\frac{\pi }{4}$

Answer 1

The correct option is A

$x=2n\pi -\frac{\pi }{2}$

$3tan\frac{x}{2}+3=03tan\frac{x}{2}=-3tan\frac{x}{2}=-1\frac{x}{2}=n\pi -\frac{\pi }{4}x=2n\pi -\frac{\pi }{2}$