What is tan(arcsin(x/9)) ?

The solution to tan(arcsin(x/9)) is (xsqrt(81-x^2))/(81-x^2)

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simplify tan(arcsin(x/9))

simplify

tan (arcsin (\frac{x}{9}))

\frac{x 81 - x ^{2}}{81 - x ^{2}}

Solution steps

tan (arcsin (\frac{x}{9}))

Use the following identity:

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

= \frac{( \frac{x}{9} ) 1 - ( \frac{x}{9} ) ^{2}}{1 - ( \frac{x}{9} ) ^{2}}

Simplify

= \frac{x 81 - x ^{2}}{81 - x ^{2}}

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What is tan(arcsin(x/9)) ?
The solution to tan(arcsin(x/9)) is (xsqrt(81-x^2))/(81-x^2)