Cotangent Function In Trigonometry: Definition, Formula, And Reciprocal Relationship



The cotangent of x, denoted as cot(x), is a trigonometric function that represents the ratio of the adjacent side to the opposite side of a right triangle. The formula for cot(x) is:

cot(x) = adjacent side / opposite side

In other words, if you have a right triangle with an angle x, and the length of the adjacent side is A and the length of the opposite side is O, then cot(x) = A/O.

It can also be expressed in terms of the tangent function, since cot(x) is the reciprocal of the tangent function:

cot(x) = 1 / tan(x)

So, if you know the value of the tangent function at an angle x, you can calculate the value of the cotangent function at the same angle by taking the reciprocal of the tangent.

It is important to note that the cotangent function is undefined at angles where the opposite side is equal to zero (i.e., where x is a multiple of pi).

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