SOLUTION: Find the set of values of x (in radians) for which tan(x) = sqrt(3), for x in [0, 2π]

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Question 813095: Find the set of values of x (in radians) for which tan(x) = sqrt(3), for x in [0, 2π]
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28x%29+=+sqrt%283%29
tan%2860%29+=+sqrt%283%29
we know this because of the special 30-60-90 triangle the opposite of 30 is 1 and the side opposite of 30 is sqrt%283%29. Therefore, tan%2860%29=sqrt%283%29%2F1
30=pi%2F6
Tan is positive in quadrant 1 and 3. so we know that x+=+pi%2F6 and x=+7pi%2F6