Math Doubts

$\sec{(30^°)}$ value

$\sec{(30^°)} \,=\, \dfrac{2}{\sqrt{3}}$

The value of secant in a thirty degrees right triangle is called the secant of angle thirty degrees.

Introduction

The secant of angle thirty degrees is a value that represents the ratio of lengths of hypotenuse to adjacent side when the angle of a right triangle is thirty degrees.

In Sexagesimal system, the secant of angle thirty degrees is written as $\sec{(30^°)}$. Its exact value is equal to quotient of two by square root of three. It is an irrational number and written in the following mathematical form.

$\sec{(30^°)} \,=\, \dfrac{2}{\sqrt{3}}$

The following is the value of secant of thirty degrees in decimal form.

$\sec{(30^°)} \,=\, 1.1547005383\cdots$

$\implies$ $\sec{(30^°)} \,\approx\, 1.1547$

The secant of angle thirty degrees can also be written in two other forms in trigonometric mathematics.

circular system

The secant of angle thirty degrees is written as the secant of quotient of pi by six radian in circular system. It is mathematically written as $\sec{\Big(\dfrac{\pi}{6}\Big)}$ in mathematics.

$\sec{\Big(\dfrac{\pi}{6}\Big)} \,=\, \dfrac{2}{\sqrt{3}}$

Centesimal system

The secant thirty degrees is also written as the secant of angle thirty three and one third grades. It is written in mathematical form as $\sec{\Big(33\dfrac{1}{3}^g\Big)}$ in Centesimal system.

$\sec{\Big(33\dfrac{1}{3}^g\Big)} \,=\, \dfrac{2}{\sqrt{3}}$

Proofs

The exact value of secant of thirty degrees can be derived possibly in three mathematical approaches in mathematics.

Math Questions

The math problems with solutions to learn how to solve a problem.

Learn solutions

Math Worksheets

The math worksheets with answers for your practice with examples.

Practice now

Math Videos

The math videos tutorials with visual graphics to learn every concept.

Watch now

Subscribe us

Get the latest math updates from the Math Doubts by subscribing us.

Learn more

Math Doubts

A free math education service for students to learn every math concept easily, for teachers to teach mathematics understandably and for mathematicians to share their maths researching projects.

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved