What is sin(arccos(x/6)) ?

The solution to sin(arccos(x/6)) is (sqrt(36-x^2))/6

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simplify sin(arccos(x/6))

simplify

sin (arccos (\frac{x}{6}))

\frac{36 - x ^{2}}{6}

Solution steps

sin (arccos (\frac{x}{6}))

Use the following identity:

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

= 1 - (\frac{x}{6})^{2}

Simplify

= \frac{36 - x ^{2}}{6}

tan^{2} (18 0^{\circ} + x)

sin (A + π)

cos^{2} (18 0^{\circ} + x)

cos (3 0^{\circ} + x)

sin (3 0^{\circ} + θ)