Question 1118018
.
<pre>
The given equation is  {{{sqrt(3)*tan(x)+1}}} = 0.


It is equivalent to  {{{sqrt(3)*tan(x)}}} = -1,  which, in turn, is equivalent to


tan(x) = {{{-1/sqrt(3)}}},   or   tan(x) = {{{-sqrt(3)/3}}}.


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



<U>Answer</U>.  The only solution is  x = 150 degrees.
</pre>