What is cos(arcsin(x/3)) ?

The solution to cos(arcsin(x/3)) is (sqrt(9-x^2))/3

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simplify cos(arcsin(x/3))

simplify

cos (arcsin (\frac{x}{3}))

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

Solution steps

cos (arcsin (\frac{x}{3}))

Use the following identity:

cos (arcsin (x)) = 1 - x^{2}

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

Simplify

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

cot (- x)

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

sin (36 0^{\circ} - x)

cos (arcsin (\frac{5}{x}))

1 - sin^{2} (θ)