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

The solution to tan(arcsin(x/3)) is (xsqrt(9-x^2))/(9-x^2)

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simplify tan(arcsin(x/3))

simplify

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

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

Solution steps

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

Use the following identity:

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

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

Simplify

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

cos (arcsin (\frac{7}{x}))

sin (arccos (2 x))

sin (arctan (\frac{y}{x}))

cos (18 0^{\circ} - θ)

sin (arctan (\frac{x}{2}))

What is tan(arcsin(x/3)) ?
The solution to tan(arcsin(x/3)) is (xsqrt(9-x^2))/(9-x^2)