cot x
In mathematics, the cotangent function (usually abbreviated as cot) is a trigonometric function that represents the ratio of the adjacent side to the opposite side in a right-angled triangle
In mathematics, the cotangent function (usually abbreviated as cot) is a trigonometric function that represents the ratio of the adjacent side to the opposite side in a right-angled triangle. It is the reciprocal of the tangent function.
In more formal terms, for any angle x, the cotangent of x (cot x) is defined as the ratio of the adjacent side to the opposite side in a right triangle. Mathematically, it can be represented as:
cot x = adjacent side / opposite side
Alternatively, cot x can also be defined in terms of the sine and cosine functions:
cot x = cos x / sin x
Please note that the cotangent function is only defined for certain values of x. Specifically, it is undefined for any angle where the sine value is zero (i.e., x = 0 + kπ, where k is an integer). At these values, the ratio of the adjacent side to the opposite side becomes undefined.
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