What is the value of sin(arccos(2/9)) ?

The value of sin(arccos(2/9)) is (sqrt(77))/9

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sin(arccos(2/9))

sin (arccos (\frac{2}{9}))

\frac{77}{9}

Decimal Notation

0.97499 \dots

Solution steps

sin (arccos (\frac{2}{9}))

Rewrite using trig identities:

sin (arccos (\frac{2}{9})) = 1 - (\frac{2}{9})^{2}

Use the following identity:

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

= 1 - (\frac{2}{9})^{2}

= 1 - (\frac{2}{9})^{2}

Simplify

= \frac{77}{9}

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\frac{( 7.1 1 ^{2} ) sin ( 2 \cdot 30 )}{14.59}

What is the value of sin(arccos(2/9)) ?
The value of sin(arccos(2/9)) is (sqrt(77))/9