What is the value of cos(arcsin(12/13)) ?

The value of cos(arcsin(12/13)) is 5/13

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arcsin(12/13))

cos (arcsin (\frac{12}{13}))

\frac{5}{13}

Decimal Notation

0.38461 \dots

Solution steps

cos (arcsin (\frac{12}{13}))

Rewrite using trig identities:

cos (arcsin (\frac{12}{13})) = 1 - (\frac{12}{13})^{2}

Use the following identity:

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

= 1 - (\frac{12}{13})^{2}

= 1 - (\frac{12}{13})^{2}

Simplify

= \frac{5}{13}

sec (\frac{3 π}{4}) tan (\frac{3 π}{4})

sin (9 π)

arccos (cos (\frac{17 π}{6}))

5 cos (\frac{π}{6})

sin (2 \frac{π}{4})

What is the value of cos(arcsin(12/13)) ?
The value of cos(arcsin(12/13)) is 5/13