The value of secant function when angle of right triangle equals to $45^°$ is called secant of angle $45$ degrees. It is written as $\sec{(45^°)}$ as per sexagesimal system in mathematics.

$\sec{(45^°)} \,=\, \sqrt{2}$

The value of sec of angle $45$ degrees in fraction is $\sqrt{2}$ exactly. It is an irrational number and equal to $1.4142135624\ldots$ in decimal form but the approximate value of secant of angle $45$ degrees is considered as $1.4142$ in mathematics. Generally, the value of $\sec{(45^°)}$ is called as trigonometric function or trigonometric ratio for standard angle.

$\sec{(45^°)}$ is written in alternative form as $\sec{\Big(\dfrac{\pi}{4}\Big)}$ in circular system and also written as $\sec{(50^g)}$ in centesimal system.

$(1) \,\,\,$ $\sec{\Big(\dfrac{\pi}{4}\Big)}$ $\,=\,$ $\sqrt{2}$ $\,=\,$ $1.4142135624\ldots$

$(2) \,\,\,$ $\sec{(50^g)}$ $\,=\,$ $\sqrt{2}$ $\,=\,$ $1.4142135624\ldots$

You know the exact value of secant of angle $45$ degrees in both decimal and fraction from and it is time to learn how to evaluate the exact value of $\sec{\Big(\dfrac{\pi}{4}\Big)}$ in trigonometry.

Latest Math Topics

Jan 06, 2023

Jan 03, 2023

Jan 01, 2023

Dec 26, 2022

Dec 08, 2022

Latest Math Problems

Nov 25, 2022

Nov 02, 2022

Oct 26, 2022

Oct 24, 2022

Sep 30, 2022

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the maths problems in different methods with understandable steps.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved