SOLUTION: find the exact solutions to the equation tan x = -1/(square root of 3) on the interval zero is less than or equal to x is less than or equal to 2pi

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Question 922044: find the exact solutions to the equation tan x = -1/(square root of 3) on the interval zero is less than or equal to x is less than or equal to 2pi
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
We know that tan%2830%5Eo%29=1%2Fsqrt%283%29=sqrt%283%29%2F3 ,
and if we are expected to measure angles in radians,
tan%28pi%2F6%29=1%2Fsqrt%283%29=sqrt%283%29%2F3 , so we have one solution, highlight%28x=pi%2F6%29%29 .
We also know that tangent is a function with a period of pi ,
and as pi%2F6%2Bpi=7pi%2F6 ,
tan%28pi%2F6%29=tan%28pi%2F6%2Bpi%29=tan%287pi%2F6%29 ,
so highlight%28x=7pi%2F6%29 is another solution.
There are no other solutions.
There are infinity of other angles with the same tangent,
such as -5pi%2F6=pi%2F6-pi or 13pi%2F6=pi%2F6%2B2pi ,
but those are not in the interval 0%3C=x%3C=2pi