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The '''arctangent''' function is an [[inverse trigonometric function]] which is the inverse of the [[tangent]] function.  Whereas tangent converts an angle to the [[ratio]] of the length of the opposite side of a [[right triangle]] to the adjacent one, arctangent is used to find the angle when the ratio is known. The arctangent function is often abbreviated ''arctan''.
 
The '''arctangent''' function is an [[inverse trigonometric function]] which is the inverse of the [[tangent]] function.  Whereas tangent converts an angle to the [[ratio]] of the length of the opposite side of a [[right triangle]] to the adjacent one, arctangent is used to find the angle when the ratio is known. The arctangent function is often abbreviated ''arctan''.
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The arctangent appears "naturally" as the antiderivative of a rational function. In particular, <math>\int\frac{dx}{1+x^2}=\arctan x</math>
    
[[category:Trigonometry]]
 
[[category:Trigonometry]]
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