Question

Evaluate arctan(tan(2pi/3))

Answer 1

Answer:

For this case we know that $\frac{2\pi}{3}= 120 degrees$. For this case we want to find:

$arctan(tan(\frac{2\pi}{3}))$

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:

$arctan(tan(\frac{2\pi}{3})) = I(\frac{2\pi}{3}) = \frac{2\pi}{3}$

Step-by-step explanation:

For this case we know that $\frac{2\pi}{3}= 120 degrees$. For this case we want to find:

$arctan(tan(\frac{2\pi}{3}))$

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:

$arctan(tan(\frac{2\pi}{3})) = I(\frac{2\pi}{3}) = \frac{2\pi}{3}$