Mastering Cot(X): Trigonometric Function, Definition, And Graphs

Cot(x)

-Csc^2 (x)

Cot(x) is a trigonometric function that represents the reciprocal of the tangent of an angle ‘x’ in a right-angled triangle. In mathematical terms, Cot(x) = cos(x)/sin(x).

The value of Cot(x) can be found by dividing the adjacent side of the angle by the opposite side. It is important to note that Cot(x) is undefined for values of x where sin(x) = 0, which translates to x = n * pi, where n is an integer.

The graph of Cot(x) is periodic and has an asymptote at every value of x where sin(x) = 0. The function is undefined at these points, and the graph approaches infinity or negative infinity as x approaches these values.

In conclusion, Cot(x) is a trigonometric function that represents the reciprocal of the tangent of an angle ‘x’. Its value can be found by dividing the adjacent side of the angle by the opposite side. However, it is important to note that Cot(x) is undefined for values of x where sin(x) = 0.

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