Question

\[tan^{-1}(tan\frac{4*\pi}{5})=\]

Answer 1

I get \[\frac\pi{5}\]

Answer 2

what did I do wrong?

Answer 3

its -pi/5 , right ?
\(\tan (\theta - \pi)=\tan \theta\)
4pi/5 - pi = -pi/5
also, \(\tan^{-1}\tan \theta = \theta \)

Answer 4

oh it's period is pi.....I see

Answer 5

yes, period of tan theta = pi. thats why its has same values after every 180 degrees...

Answer 6

makes sense. Thanks!

Answer 7

welcome :)