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

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

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simplify tan(arcsin(x/a))

simplify

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

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

Solution steps

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

Use the following identity:

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

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

Simplify

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

sin (9 0^{\circ} - \frac{x}{2})

16 - (4 sin (θ))^{2}

csc (arccos (u))

cot (x - π)

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

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