cot of theta
1/tan theta
The cotangent function (cot) is defined as the ratio of the adjacent side divided by the opposite side of a right triangle with respect to a given acute angle (theta):
cot(theta) = adjacent side / opposite side
Where the adjacent side is the side adjacent to the angle theta and opposite side is the side opposite to the angle theta.
Alternatively, the cotangent function can also be expressed in terms of sine and cosine functions:
cot(theta) = cos(theta) / sin(theta)
This implies that if you know the values of cosine and sine for a particular angle theta, you can find the value of its cotangent by dividing the cosine by the sine.
For example, if cos(theta) = 1/2 and sin(theta) = sqrt(3)/2 (which corresponds to an angle of 30 degrees), the cotangent of this angle can be found as:
cot(30 degrees) = cos(30 degrees) / sin(30 degrees) = (1/2)/(sqrt(3)/2) = 1/sqrt(3) = sqrt(3)/3
Therefore, the value of cot(theta) depends on the angle theta and the values of the adjacent and opposite sides or the values of cosine and sine functions.
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