# Thread: find all solutions to Tanx + sqrt of 3 = 0

1. ## find all solutions to Tanx + sqrt of 3 = 0

Hey just to make sure im correct i came up with

x= 2pi/3 and x=5pi/3

are these all the solutions.....

2. Originally Posted by NoAsherelol
Hey just to make sure im correct i came up with

x= 2pi/3 and x=5pi/3

are these all the solutions.....
On the interval $[ 0, 2 \pi )$, yes. The general solution is
$x = \frac{2 \pi}{3} + n \pi$
where n is any integer.

-Dan

3. Originally Posted by NoAsherelol
Hey just to make sure im correct i came up with

x= 2pi/3 and x=5pi/3

are these all the solutions.....
$\tan x + \sqrt{3} = 0$
$\tan x = - \sqrt{3}$
$x = \tan ^{-1} (- \sqrt{3})$
$\frac{2\pi}{3}, \frac{5 \pi}{3}$

You can have infinite solution. If the range is between $0 \ge x \ge 2\pi$ then you are correct.