Difference between revisions of "Arctangent"
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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]] | ||
Revision as of 23:41, May 30, 2009
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 appears "naturally" as the antiderivative of a rational function. In particular,
