cofunction of secant
The cofunction of the secant function is the cosecant function
The cofunction of the secant function is the cosecant function.
The secant function, denoted as sec(x), is defined as the reciprocal of the cosine function. In other words, sec(x) = 1/cos(x).
On the other hand, the cosecant function, denoted as csc(x), is defined as the reciprocal of the sine function. In other words, csc(x) = 1/sin(x).
The corelationship between the secant and cosecant functions lies in their definitions and their relationship to the cosine and sine functions, respectively. The secant function focuses on the ratio of the hypotenuse to the adjacent side of a right triangle, while the cosecant function focuses on the ratio of the hypotenuse to the opposite side.
It is important to note that both the secant and cosecant functions are periodic with a period of 2π. They have specific properties, such as being undefined for certain values of x (where cosine or sine is zero) and having vertical asymptotes at these points. Additionally, they have specific ranges, where secant takes on any real value except for -1 ≤ sec(x) ≤ 1, and cosecant takes on any real value except for -1 ≤ csc(x) ≤ 1.
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