Secant Formula

About Secant Formula

There are three sides to any right-angled triangle: the hypotenuse, the perpendicular, and the height. The hypotenuse is the greatest side of the triangle and is on the opposite side of the right angle. The secant of the angle of the right-angled triangle is obtained by dividing the length of the hypotenuse by the length of the neighbouring side. 'sec' stands for secant. The inverse cosine (cos) ratio is used to generate the secant formula. Because secant function is reciprocal of the cosine function, anytime the cosine function is equal to zero, the secant function goes to infinity (0). The secant formula is presented below, along with examples.

What is Secant Formula?

The hypotenuse, the perpendicular side (opposite), and the adjacent side, which is the height, are the three sides of a right-angled triangle. The hypotenuse is the triangle's longest side; the perpendicular side is the side opposing the angle; and the adjacent side is the side on which both the hypotenuse and the opposite rest.

A right triangle's secant function is the hypotenuse divided by the base. As a result, the secant formula for a given triangle is:

  • sec θ = H/B

where,

  • B = Base
  • H = hypotenuse
  • Also, sec θ = (1/cosθ)
  • sin θ = Hypotenusebase
  • sin θ = 1cosθ

There is a formula related to the Pythagoras theorem, i.e.

  • Sec2θ = 1 + tan2θ

Note: This equation is very useful. It is similar to the squared relationship between sin θ and cos θ. (i.e. Sec2θ - tan2θ = 1)

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Secant Formula
Secant Formula

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