SOLUTION: What value of x in the interval 0degrees less than or equal to x less than or equal to 180 satisfies the equation square root 3tan x + 1 = 0?

Algebra ->  Trigonometry-basics -> SOLUTION: What value of x in the interval 0degrees less than or equal to x less than or equal to 180 satisfies the equation square root 3tan x + 1 = 0?      Log On


   

Question 1118018: What value of x in the interval 0degrees less than or equal to x less than or equal to 180 satisfies the equation square root 3tan x + 1 = 0?
Answer by ikleyn(52939) About Me  (Show Source):
You can put this solution on YOUR website!
.
The given equation is  sqrt%283%29%2Atan%28x%29%2B1 = 0.


It is equivalent to  sqrt%283%29%2Atan%28x%29 = -1,  which, in turn, is equivalent to


tan(x) = -1%2Fsqrt%283%29,   or   tan(x) = -sqrt%283%29%2F3.


The last equation has only one solution  x = 150 degrees  in the given interval.



Answer.  The only solution is  x = 150 degrees.