SOLUTION: Evaluate tan^-1(tan(3pi/4)) (tan^-1 = tan inverse)

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Question 1200007: Evaluate tan^-1(tan(3pi/4))
(tan^-1 = tan inverse)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The range of tan^(-1) is the range of angles closest to 0 over which the tangent function takes on all its values exactly once. That range is from -pi/2 to +pi/2.

Since the period of tan(x) is pi, we need to add or subtract multiples of pi to the given angle of (3/4)pi to get a concurrent angle between -pi/2 and +pi/2.

ANSWER: tan^(-1)(tan(3pi/4)) = 3pi/4 - pi = -pi/4