What is sin(arccos(3/x)) ?

The solution to sin(arccos(3/x)) is (sqrt(x^2-9))/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin(arccos(3/x))

simplify

sin (arccos (\frac{3}{x}))

\frac{x ^{2} - 9}{x}

Solution steps

sin (arccos (\frac{3}{x}))

Use the following identity:

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

= 1 - (\frac{3}{x})^{2}

Simplify

= \frac{x ^{2} - 9}{x}

cos (- 4 t)

25 - (5 sin (θ))^{2}

sin (π t + π)

- cos (4 x - 7 x)

sin (t + \frac{π}{6})