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tan-1
The inverse tangent is defined as
which can also be indicated with tan−1(x).
Explanation
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
Symmetries
In the series for the inverse tangent there are only odd exponents, so applies the symmetry