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

The solution to tan(arcsin(x/(x+1))) is (xsqrt(2x+1))/(2x+1)

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simplify tan(arcsin(x/(x+1)))

simplify

tan (arcsin (\frac{x}{x + 1}))

\frac{x 2 x + 1}{2 x + 1}

Solution steps

tan (arcsin (\frac{x}{x + 1}))

Use the following identity:

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

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

Simplify

= \frac{x 2 x + 1}{2 x + 1}

sec (arctan (a))

cot (arcsin (2 x))

tan (θ + 9 0^{\circ})

- 2 cos (- \frac{π}{4} t)

sin (4 π - θ)

What is tan(arcsin(x/(x+1))) ?
The solution to tan(arcsin(x/(x+1))) is (xsqrt(2x+1))/(2x+1)