cot(x)
-csc^2x
cot(x) is a trigonometric function that represents the cotangent of an angle x in a right-angled triangle. It is defined mathematically as the ratio of the adjacent side to the opposite side of a given angle in a right-angled triangle.
The formula for cot(x) is as follows:
cot(x) = adjacent side / opposite side
Alternatively, cot(x) can also be expressed using the tangent function as follows:
cot(x) = 1 / tan(x)
It is important to note that cot(x) is undefined for x = nπ (where n is an integer). This is because the opposite side of a right-angled triangle becomes zero when the angle x is equal to an odd multiple of π/2 (90 degrees).
The graph of cot(x) is periodic with a period of π. It oscillates between positive and negative infinity at the points x = nπ (where n is any integer).
In general, cot(x) can be used to solve various trigonometric problems such as finding angles and sides of right-angled triangles, as well as in applications that involve periodic phenomena such as waves and oscillations.
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