What is sin(arccos(x/4)) ?

The solution to sin(arccos(x/4)) is (sqrt(16-x^2))/4

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simplify sin(arccos(x/4))

simplify

sin (arccos (\frac{x}{4}))

\frac{16 - x ^{2}}{4}

Solution steps

sin (arccos (\frac{x}{4}))

Use the following identity:

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

= 1 - (\frac{x}{4})^{2}

Simplify

= \frac{16 - x ^{2}}{4}

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