SOLUTION: Solve the equation arctan (tanx)=pi/6

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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