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In trigonometry, the cotangent is a function (see trigonometric function) defined as:

\,\cot x = \frac{\cos x}{\sin x}


\,\cot x = \frac{1}{\tan x}

An interpretation of the cotangent of an angle x is as follows. In a right triangle with one angle equal to x, cot x is the ratio of the length of the leg adjacent to the angle x to the leg opposite the angle x.


The derivative of the cotangent is:

\,\frac{\mathrm{d} (\cot x)}{\mathrm{d} x} = \frac{-1}{\sin^2 x} = -\csc^2 x

where csc is the cosecant.

See also

External link

  • MathWorld: Cotangent
Last updated: 02-25-2005 01:01:06