What is tan(arcsin(x/8)) ?

The solution to tan(arcsin(x/8)) is (xsqrt(64-x^2))/(64-x^2)

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simplify tan(arcsin(x/8))

simplify

tan (arcsin (\frac{x}{8}))

\frac{x 64 - x ^{2}}{64 - x ^{2}}

Solution steps

tan (arcsin (\frac{x}{8}))

Use the following identity:

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

= \frac{( \frac{x}{8} ) 1 - ( \frac{x}{8} ) ^{2}}{1 - ( \frac{x}{8} ) ^{2}}

Simplify

= \frac{x 64 - x ^{2}}{64 - x ^{2}}

csc (arccos (\frac{x}{10}))

tan (+ \frac{cot ( x )}{csc ( x )})

cos (4 x) \cdot cos (- 4 x)

\frac{t ^{2}}{sin ^{2} ( t )} d t

cos (4 π t + 5 π)

What is tan(arcsin(x/8)) ?
The solution to tan(arcsin(x/8)) is (xsqrt(64-x^2))/(64-x^2)