What is cot(arcsin(x/4)) ?

The solution to cot(arcsin(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 cot(arcsin(x/4))

simplify

cot (arcsin (\frac{x}{4}))

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

Solution steps

cot (arcsin (\frac{x}{4}))

Use the following identity:

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

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

Simplify

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

csc (x) + cos (x) \cdot cot (- x)

cos (arcsin (a))

sec (arccot (x))

cos (arcsin (\frac{x}{y}))

\frac{1}{cot ( ln ( x ) )}