"Simplify sin⁡(cos−1x)" was answered by our community

Secondary
Geometry
Trigonometry
Trigonometric Functions

Francisca Rodden

Answered question

2021-12-13

Simplify

\sin (\cos^{- 1} x)

Answer & Explanation

habbocowji

Beginner2021-12-14Added 22 answers

\cos (a) = x = \frac{x}{1}

\sin (\cos^{- 1} x) = \sin (a) = \frac{\sqrt{1 - x^{2}}}{1} = \sqrt{1 - x^{2}}

(using the Pythagorean Theorem)

Deufemiak7

Beginner2021-12-15Added 34 answers

\sin (\cos^{- 1} x) = \sin (\arccos (x)) = \sqrt{1 - x^{2}}

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?

Product

Company

Connect with us

Contact us

Get Plainmath App

Google Play

Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus

Cyprus reg.number: ΗΕ 419361

E-mail us: support@plainmath.net

Our Service is useful for:

Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD.

2023 Plainmath. All rights reserved