What is tan(arcsin(w)) ?

The solution to tan(arcsin(w)) is (wsqrt(1-w^2))/(1-w^2)

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simplify tan(arcsin(w))

simplify

tan (arcsin (w))

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

Solution steps

tan (arcsin (w))

Use the following identity:

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

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

cos (arcsin (t))

5 sin (2 x + \frac{π}{2})

cos (π + x) + cos (π - x)

cos (2 x + π)

- 1 + cos (2 x + π)

What is tan(arcsin(w)) ?
The solution to tan(arcsin(w)) is (wsqrt(1-w^2))/(1-w^2)