What is tan(arcsin(x/4)) ?

The solution to tan(arcsin(x/4)) is (xsqrt(16-x^2))/(16-x^2)

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simplify tan(arcsin(x/4))

simplify

tan (arcsin (\frac{x}{4}))

\frac{x 16 - x ^{2}}{16 - x ^{2}}

Solution steps

tan (arcsin (\frac{x}{4}))

Use the following identity:

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

= \frac{( \frac{x}{4} ) 1 - ( \frac{x}{4} ) ^{2}}{1 - ( \frac{x}{4} ) ^{2}}

Simplify

= \frac{x 16 - x ^{2}}{16 - x ^{2}}

sin (θ - 18 0^{\circ})

sec^{2} (x) - 1

cos (arcsin (\frac{6}{x}))

sin (πn)

tan (\frac{π}{2} + x)

What is tan(arcsin(x/4)) ?
The solution to tan(arcsin(x/4)) is (xsqrt(16-x^2))/(16-x^2)