What is tan(arcsin(u)) ?

The solution to tan(arcsin(u)) is (usqrt(1-u^2))/(1-u^2)

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simplify tan(arcsin(u))

simplify

tan (arcsin (u))

\frac{u 1 - u ^{2}}{1 - u ^{2}}

Solution steps

tan (arcsin (u))

Use the following identity:

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

= \frac{u 1 - u ^{2}}{1 - u ^{2}}

cos (t - \frac{π}{6})

- sin (arcsin (x))

csc^{- 2} (π - x)

cos (t - \frac{π}{2})

cos (2 π + x)

What is tan(arcsin(u)) ?
The solution to tan(arcsin(u)) is (usqrt(1-u^2))/(1-u^2)