Question 625201
The "-" in your problem must be a subtraction, not a sign:
{{{tan(theta) - sqrt(3) = 0}}}
First we solve for {{{tan(theta)}}} by adding {{{sqrt(3)}}}:
{{{tan(theta) = sqrt(3)}}}<br>
Next, we should recognize that {{{sqrt(3)}}} is a special angle value for tan. We should know that the reference angle whose tan is {{{sqrt(3)}}} is 60 degrees.<br>
Since tan is positive is positive in the first and third quadrants, we are looking for angles that terminate in the first and third quadrants with a reference angle of 60 degrees. In the first quadrant we can just use the reference angle itself. In the third quadrant we use:
180 + 60 = 240<br>
So there are two angle between 0  and 360 that are solutions to this equation: 60 and 240 degrees.