Question 898351: Solve the equation arctan (tanx)=pi/6
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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