Question 898351
arctan(tan(x)) = pi/6


x must be equal to pi/6.


you get:


arctan(tan(pi/6)) = pi/6


the definition of arctan(y) is the angle whose tangent is y.


in this problem y is equal to tan(x), so the problem statement becomes:


arctan(tan(x)) is the angle whose tangent is tan(x).


the angle whose tangent is tan(x) has to be x.


this means that arctan(tan(x)) = pi/6 means that x must be equal to pi/6.


you can use your calculator to confirm that arctan(tan(pi/6)) = pi/6.


make sure your calculator is in radian mode.


pi/6 = .52349... radians.


that's the answer your calculator will give you.