What is tan(arcsin(c^1x)) ?

The solution to tan(arcsin(c^1x)) is (cxsqrt(1-c^2x^2))/(1-c^2x^2)

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simplify tan(arcsin(c^1x))

simplify

tan (arcsin (c^{1} x))

\frac{c x 1 - c ^{2} x ^{2}}{1 - c ^{2} x ^{2}}

Solution steps

tan (arcsin (c^{1} x))

Use the following identity:

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

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

Simplify

= \frac{c x 1 - c ^{2} x ^{2}}{1 - c ^{2} x ^{2}}

tan^{2} (- sec^{2} (x))

2 tan (x - \frac{5}{2} π)

e^{t - \frac{π}{2}} sin (2 t - π)

tan (2 x - \frac{π}{2}) - 1

cot (arcsec (\frac{x}{a}))

What is tan(arcsin(c^1x)) ?
The solution to tan(arcsin(c^1x)) is (cxsqrt(1-c^2x^2))/(1-c^2x^2)