What is sin(arccos(x/5)) ?

The solution to sin(arccos(x/5)) is (sqrt(25-x^2))/5

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simplify sin(arccos(x/5))

simplify

sin (arccos (\frac{x}{5}))

\frac{25 - x ^{2}}{5}

Solution steps

sin (arccos (\frac{x}{5}))

Use the following identity:

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

= 1 - (\frac{x}{5})^{2}

Simplify

= \frac{25 - x ^{2}}{5}

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