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).

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.

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.

When we divide Sine by Cosine we get: So we can say: That is our first Trigonometric Identity. We can also divide "the other way around" (such as Adjacent/Opposite instead of Opposite/Adjacent) to get: Cosecant Function: csc (θ) = Hypotenuse / Opposite. Secant Function: sec (θ) = Hypotenuse / Adjacent.

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.

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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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