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

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

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simplify sin(arccos(x/y))

simplify

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

\frac{y ^{2} - x ^{2}}{y}

Solution steps

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

Use the following identity:

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

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

Simplify

= \frac{y ^{2} - x ^{2}}{y}

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What is sin(arccos(x/y)) ?
The solution to sin(arccos(x/y)) is (sqrt(y^2-x^2))/y