Secant Function Definition

In Mathematics, the Secant function is defined as the ratio between the Hypotenuse and Perpendicular of a given Right Triangle. Simply, if we divide the Hypotenuse by the Perpendicular of a triangle, the resultant will be Secant Function.

Note:

Read about the Hypotenuse, Perpendicular, and Right Triangle in detail.

In Trigonometry (A field of Mathematics in which we deal with triangles), some functions are described based on the involvement of sides of triangles and angles. The Secant Function is one of those particular functions that are defined in this field of Mathematics.

Note:

Read about Trigonometry here.

The formula for Secant Function

Like other functions, Secant also has a particular formula and representation. In Mathematics, it is represented as Sec θ. Here is the formula by following which you can find the Secant function for any right angle triangle.

Sec θ = Hypotenuse / Perpendicular

In simple words, you only have to divide the Hypotenuse by a Perpendicular to find this function.

What type of function is Secant?

In Mathematics and Physics, two major types of functions (Periodic and Aperiodic) are discussed. It is important to know about the category in which Secant falls. Actually, Secant is a periodic function because it keeps repeating its values after a specific period.

Note:

Read about Periodic and Aperiodic functions here.

Fun Facts about Secant Function

  • It is an important function in the Trigonometry field.
  • Secant is the reciprocal of a basic Trigonometry function cos.
  • This function keeps repeating its values after a specific period.
  • The secant function is used to solve a Right Triangle.

FAQ's

What do you mean by the Secant function in Trigonometry?

It is a particular function in Trigonometry that is the ratio between the Hypotenuse and Perpendicular of a Right Triangle.

Can we describe Secant in terms of Cos?

Yes, Secant is the reciprocal of Cos which is a basic Trigonometric function. Here is the formula to describe Secant in terms of Cos.

Sec θ = 1/Cos θ

In which quadrant Secant is negative?

In the second and third quadrants, the value of Secant will be negative.

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