In contrast, MatrixFunction can be used to give the cosine of a square matrix (i.e. Cos threads elementwise over lists and matrices.Other operations useful for manipulation of symbolic expressions involving Cos include TrigToExp, TrigExpand, Simplify, and FullSimplify. When given exact numeric expressions as arguments, Cos may be evaluated to arbitrary numeric precision. To specify an argument using an angle measured in degrees, the symbol Degree can be used as a multiplier (e.g. For more complicated rational multiples, FunctionExpand can sometimes be used to obtain an explicit exact value. Cos automatically evaluates to exact values when its argument is a simple rational multiple of.The equivalent schoolbook definition of the cosine of an angle in a right triangle is the ratio of the length of the leg adjacent to to the length of the hypotenuse. Cos then gives the horizontal coordinate of the arc endpoint. It is defined for real numbers by letting be a radian angle measured counterclockwise from the axis along the circumference of the unit circle. Cos is the cosine function, which is one of the basic functions encountered in trigonometry.

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