Math Doubts

$\sin{(90^°)}$ value

The sin value when angle of a right triangle equals to $90^°$ is called sine of angle $90$ degrees. In mathematics, it is written as $\sin{(90^°)}$ according to sexagesimal system.

$\sin{(90^°)} \,=\, 1$

The value of sin of $90$ degrees is $1$ exactly and it is often called as trigonometric function (or ratio) for standard angle generally.

Alternative form

The $\sin{(90^°)}$ is expressed alternatively as $\sin{\Big(\dfrac{\pi}{2}\Big)}$ in circular system and also expressed mathematically as $\sin{(100^g)}$ in centesimal system.

$(1) \,\,\,$ $\sin{\Big(\dfrac{\pi}{2}\Big)} \,=\, 1$

$(2) \,\,\,$ $\sin{(100^g)} \,=\, 1$

Proof

You just learnt that the exact value of sin of $90$ degrees is $1$ and it is your turn to learn how the value of $\sin{\Big(\dfrac{\pi}{2}\Big)}$ is equal to one mathematically from a geometric proof.

Math Doubts

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

Maths Topics

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

Maths Problems

A math help place with list of solved problems with answers and worksheets on every concept for your practice.

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