Secant, cosecant and cotangent, almost always written as sec, cosec and cot are trigonometric functions like sin, cos and tan. sec x = 1 cos x. cosec x = 1 sin x cot x = 1 = cos x tan x sin x. Note, sec x is not the same as cos-1 x (sometimes written as arccos x).

The secant function is an even function because sec(-x) = sec x, for all x. Sec x has vertical asymptotes at all values of x = π/2 + nπ, n being an integer. The secant function graph is symmetric with respect to the y-axis.

In Trigonometry, different types of problems can be solved using trigonometry formulas. These problems may include trigonometric ratios (sin, cos, tan, sec, cosec and cot), Pythagorean identities, product identities, etc.

由于在二.1中我们说过，cos和sec互为倒数，所以实际上，我们还可以借助cos的图像来得到y=secx. 来把它们画在一块. 图3 y=cosx和y=secx. 我觉得这么记住y=secx的图像是最好的. 所以同样地，y=cscx的图像也是一样的研究方法. 这里给出图像，其它的请读者按之前的思路进行

In a right triangle, the secant of an angle is the length of the hypotenuse divided by the length of the adjacent side. In a formula, it is abbreviated to just 'sec'. Of the six possible trigonometric functions, secant, cotangent, and cosecant, are rarely used.

When `cos x` is very small, `sec x` will be very large. After applying this concept throughout the range of x -values, we can proceed to sketch the graph of `y = sec x`. First, we graph `y = cos x` and then `y = sec x` immediately below it.

The secant function \( sec (\theta) \) is defined as \( \sec(\theta) = \dfrac{r}{x} \) , where \( r \) is the distance from O to M and is given by \( r = \sqrt{x^2+y^2} \).

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The function sec(x) is one of the trigonometric functions, which represents the reciprocal of cosine. In mathematical terms, we can define sec(x) as follows: sec(x) = 1 / cos(x)

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