What is sin(arccos(x/3)) ?

The solution to sin(arccos(x/3)) is (sqrt(9-x^2))/3

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simplify sin(arccos(x/3))

simplify

sin (arccos (\frac{x}{3}))

\frac{9 - x ^{2}}{3}

Solution steps

sin (arccos (\frac{x}{3}))

Use the following identity:

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

= 1 - (\frac{x}{3})^{2}

Simplify

= \frac{9 - x ^{2}}{3}

tan (\frac{1}{sin ( x )})

tan (arccos (8 x))

csc (9 0^{\circ} - θ)

\frac{sin ( nπ )}{nπ}

9 - 9 sin^{2} (x)