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

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

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.

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.

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

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.

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

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

Latest Math Topics

Latest Math Problems

Email subscription

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.