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The inverse tangent is defined as

which can also be indicated with tan−1(x).



  The inverse tangent is from –π/2 and +π/2.


Defined integral

By integrating the expression for the derivative into fixed value x, the inverse tangent can be written as a definite integral


Inverse derivative


Power series development


Mutual relations

If only part of the arc sine function is given


Phase shift



In the series for the inverse tangent there are only odd exponents, so applies the symmetry


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