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

• Jul 1st 2008, 02:52 AM
NoAsherelol
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.....
• Jul 1st 2008, 02:58 AM
topsquark
Quote:

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 $\displaystyle [ 0, 2 \pi )$, yes. The general solution is
$\displaystyle x = \frac{2 \pi}{3} + n \pi$
where n is any integer.

-Dan
• Jul 1st 2008, 02:58 AM
Simplicity
Quote:

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.....

$\displaystyle \tan x + \sqrt{3} = 0$
$\displaystyle \tan x = - \sqrt{3}$
$\displaystyle x = \tan ^{-1} (- \sqrt{3})$
$\displaystyle \frac{2\pi}{3}, \frac{5 \pi}{3}$

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