What is the value of cos(arcsin(8/17)) ?

The value of cos(arcsin(8/17)) is 15/17

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(arcsin(8/17))

cos (arcsin (\frac{8}{17}))

\frac{15}{17}

Decimal Notation

0.88235 \dots

Solution steps

cos (arcsin (\frac{8}{17}))

Rewrite using trig identities:

cos (arcsin (\frac{8}{17})) = 1 - (\frac{8}{17})^{2}

Use the following identity:

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

= 1 - (\frac{8}{17})^{2}

= 1 - (\frac{8}{17})^{2}

Simplify

= \frac{15}{17}

arccos (\frac{6}{11})

3 cos (4 7^{\circ})

arcsin (\frac{1}{1.8})

csc (\frac{- 4 π}{3})

sin (11 1^{\circ})

What is the value of cos(arcsin(8/17)) ?
The value of cos(arcsin(8/17)) is 15/17