SOLUTION: what are the values of theta in the interval 0 degrees less than or equal to theta less than 360 degrees that satisfy the equation tan theta negative radical three equals 0?

Question 625201: what are the values of theta in the interval 0 degrees less than or equal to theta less than 360 degrees that satisfy the equation tan theta negative radical three equals 0?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The "-" in your problem must be a subtraction, not a sign:

First we solve for by adding :

Next, we should recognize that is a special angle value for tan. We should know that the reference angle whose tan is is 60 degrees.

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

So there are two angle between 0 and 360 that are solutions to this equation: 60 and 240 degrees.
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