What is the value of cos(arcsin(1/3)) ?

The value of cos(arcsin(1/3)) is (2sqrt(2))/3

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cos(arcsin(1/3))

cos (arcsin (\frac{1}{3}))

\frac{2 2}{3}

Decimal Notation

0.94280 \dots

Solution steps

cos (arcsin (\frac{1}{3}))

Rewrite using trig identities:

cos (arcsin (\frac{1}{3})) = 1 - (\frac{1}{3})^{2}

Use the following identity:

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

= 1 - (\frac{1}{3})^{2}

= 1 - (\frac{1}{3})^{2}

Simplify

= \frac{2 2}{3}

sin (- 45 0^{\circ})

arctan (\frac{- 3}{- 2})

cos (0.01)

300 \cdot cos (6 0^{\circ})

\frac{- 1}{sin ( - 1 )}

What is the value of cos(arcsin(1/3)) ?
The value of cos(arcsin(1/3)) is (2sqrt(2))/3