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}

tan (arccos (\frac{3}{4}))

2 cos (\frac{3 π}{4})

arcsinh (0)

arctan (30)

sin^{2} (2 5^{\circ})

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