What is sin(arccos(x/9)) ?

The solution to sin(arccos(x/9)) is (sqrt(81-x^2))/9

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simplify sin(arccos(x/9))

simplify

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

\frac{81 - x ^{2}}{9}

Solution steps

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

Use the following identity:

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

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

Simplify

= \frac{81 - x ^{2}}{9}

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