What is (sinh(x))/(sqrt(1+sinh^2(x))) ?

The solution to (sinh(x))/(sqrt(1+sinh^2(x))) is tanh(x)

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simplify (sinh(x))/(sqrt(1+sinh^2(x)))

simplify

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

tanh (x)

Solution steps

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

Simplify

1 + sinh^{2} (x) : cosh (x)

= \frac{sinh ( x )}{cosh ( x )}

Use the Hyperbolic identity:

\frac{sinh ( x )}{cosh ( x )} = tanh (x)

= tanh (x)

\frac{x ^{2} + 2 x - 3}{x ^{2} - 9} \cdot \frac{x - 3}{x ^{2} - 4 x + 3}

(\frac{5 a ^{2} b ^{- 8} c}{25 a b ^{0} c ^{6}})^{3}

\frac{21 x ^{4} - 14 x ^{3} - 28 x ^{2}}{7 x ^{2}}

4 x - 3 x^{2}

490 y^{5} w^{6}

What is (sinh(x))/(sqrt(1+sinh^2(x))) ?
The solution to (sinh(x))/(sqrt(1+sinh^2(x))) is tanh(x)