What is cos(arcsin(1/x)) ?

The solution to cos(arcsin(1/x)) is (sqrt(x^2-1))/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify cos(arcsin(1/x))

simplify

cos (arcsin (\frac{1}{x}))

\frac{x ^{2} - 1}{x}

Solution steps

cos (arcsin (\frac{1}{x}))

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

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

Simplify

= \frac{x ^{2} - 1}{x}

cos (arcsin (\frac{3}{x}))

sec (- x)

cos (2 nπ)

tan (arccsc (x))

1 - cos^{2} (x)