cotx
-csc^2x
The term cotx refers to the cotangent of x, where x is an angle in radians.
The cotangent of an angle is defined as the ratio of the adjacent side of a right triangle to the opposite side of the same triangle. In mathematical notation, cot(x) = adjacent side/opposite side = cos(x)/sin(x).
So, to find the value of cot(x), you will need to know the values of cos(x) and sin(x). These values can be found using a trigonometric table or calculator.
For example, if x is 30 degrees (π/6 radians), then sin(x) = 1/2 and cos(x) = √3/2. Therefore, cot(x) = cos(x)/sin(x) = (√3/2)/(1/2) = √3.
It is important to note that cot(x) is undefined for values of x where sin(x) = 0, as division by zero is not allowed. In other words, cot(x) is undefined for angles that are multiples of π (180 degrees).
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