What is tan(arccos(y/9)) ?

The solution to tan(arccos(y/9)) is (sqrt(81-y^2))/y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify tan(arccos(y/9))

simplify

tan (arccos (\frac{y}{9}))

\frac{81 - y ^{2}}{y}

Solution steps

tan (arccos (\frac{y}{9}))

Use the following identity:

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

= \frac{1 - ( \frac{y}{9} ) ^{2}}{( \frac{y}{9} )}

Simplify

= \frac{81 - y ^{2}}{y}

sin (t - π)

tan (arccos (\frac{y}{5}))

cos (arcsin (12 x))

cos (arctan (\frac{x}{4}))

sin (\frac{π}{2} - a)