What is sin(arccos(x/8)) ?

The solution to sin(arccos(x/8)) is (sqrt(64-x^2))/8

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simplify sin(arccos(x/8))

simplify

sin (arccos (\frac{x}{8}))

\frac{64 - x ^{2}}{8}

Solution steps

sin (arccos (\frac{x}{8}))

Use the following identity:

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

= 1 - (\frac{x}{8})^{2}

Simplify

= \frac{64 - x ^{2}}{8}

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