Math Doubts

$\csc{(45^°)}$ value

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.

Alternative form

$\csc{(45^°)}$ 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.

Math Doubts

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

Maths Topics

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

Maths Problems

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

Learn solutions

Subscribe us

You can get the latest updates from us by following to our official page of Math Doubts in one of your favourite social media sites.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved