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Evaluate arctan(tan(2pi/3))

User Kuurde
by
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1 Answer

6 votes

Answer:

For this case we know that
(2\pi)/(3)= 120 degrees. For this case we want to find:


arctan(tan((2\pi)/(3)))

Since the tan and arctan functions are inverse when we apply bth at the same time we got the identity function so then we got for this case:


arctan(tan((2\pi)/(3))) = I((2\pi)/(3)) = (2\pi)/(3)

Explanation:

For this case we know that
(2\pi)/(3)= 120 degrees. For this case we want to find:


arctan(tan((2\pi)/(3)))

Since the tan and arctan functions are inverse when we apply bth at the same time we got the identity function so then we got for this case:


arctan(tan((2\pi)/(3))) = I((2\pi)/(3)) = (2\pi)/(3)

User Suranyami
by
7.1k points