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?

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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) About Me  (Show Source):
You can put this solution on YOUR website!
The "-" in your problem must be a subtraction, not a sign:
tan%28theta%29+-+sqrt%283%29+=+0
First we solve for tan%28theta%29 by adding sqrt%283%29:
tan%28theta%29+=+sqrt%283%29

Next, we should recognize that sqrt%283%29 is a special angle value for tan. We should know that the reference angle whose tan is sqrt%283%29 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.