What is tan(arccos(x/4)) ?

The solution to tan(arccos(x/4)) is (sqrt(16-x^2))/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify tan(arccos(x/4))

simplify

tan (arccos (\frac{x}{4}))

\frac{16 - x ^{2}}{x}

Solution steps

tan (arccos (\frac{x}{4}))

Use the following identity:

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

= \frac{1 - ( \frac{x}{4} ) ^{2}}{( \frac{x}{4} )}

Simplify

= \frac{16 - x ^{2}}{x}

csc (- csc (cos^{2} (x)))

sin (arccsc (u))

sec (- tan (x))

1 - cos (nπ)

cos (θ + 18 0^{\circ})