The value of cosecant function when angle of right triangle equals to $45^°$ is called cosecant of angle $45$ degrees. It is written as $\csc{(45^°)}$ or $\operatorname{cosec}{(45^°)}$ according to the sexagesimal system in mathematics.

$\csc{(45^°)} \,=\, \sqrt{2}$

The exact value of cosecant of angle $45$ degrees is $\sqrt{2}$ in fraction form. It is an irrational number and equal to $1.4142135624\ldots$ in decimal form but its approximate value is taken as $1.4142$ in mathematics. Actually, the value of $\csc{(45^°)}$ is generally called as trigonometric function or trigonometric ratio for standard angle.

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

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

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

You knew the exact value of cosecant of angle $45$ degrees in both fraction and decimal from and it is time to learn how to find the exact value of $\csc{\Big(\dfrac{\pi}{4}\Big)}$ in trigonometric mathematics.

Latest Math Topics

Jul 24, 2022

Jul 15, 2022

Latest Math Problems

Jul 29, 2022

Jul 17, 2022

Jun 02, 2022

Apr 06, 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