How do you simplify the expression arctan(tan(( -7pi)/6))?

1 Answer
Oct 16, 2016

arctan and tan are two opposite functions. They cancel out.

Explanation:

Just like sqrtx^2=x or 5xx xdiv5
arctan(tanx)=x

In this case: =-(7pi)/6=-7/6pi

But since tan is a periodic function (period=pi) the right answer would be -7/6pi+k*pi which can be made simpler by moving the whole pi's:
Answer =5/6pi+kpi or Answer=-1/6pi+kpi

Usually the answer (without the kpi) is given in the range (0,pi):
Answer=5/6pi