What is tan(arcsin(x+1)) ?

The solution to tan(arcsin(x+1)) is ((x+1)sqrt(-x^2-2x))/(-x^2-2x)

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simplify tan(arcsin(x+1))

simplify

tan (arcsin (x + 1))

\frac{( x + 1 ) - x ^{2} - 2 x}{- x ^{2} - 2 x}

Solution steps

tan (arcsin (x + 1))

Use the following identity:

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

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

Simplify

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

cos^{2} (- nπ)

- sin (π t + π)

csc (\frac{π}{2} - u)

3 cos (- t) - cos (t)

\frac{- 3 sin ( πn )}{2 π ( n ^{2} - 1 )}

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