What is the value of sin(arccos(1/3)) ?

The value of sin(arccos(1/3)) is (2sqrt(2))/3

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sin(arccos(1/3))

sin (arccos (\frac{1}{3}))

\frac{2 2}{3}

Decimal Notation

0.94280 \dots

Solution steps

sin (arccos (\frac{1}{3}))

Rewrite using trig identities:

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

Use the following identity:

sin (arccos (x)) = 1 - x^{2}

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

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

Simplify

= \frac{2 2}{3}

arctan (1.53)

sin^{3} (27 0^{\circ}) + csc^{2} (49 5^{\circ})

cos (53. 1^{\circ})

\frac{12.8 sin ( 5 8 ^{\circ} )}{11.4}

cos^{2} (5 3^{\circ})

What is the value of sin(arccos(1/3)) ?
The value of sin(arccos(1/3)) is (2sqrt(2))/3