What is ((e^x-e^{-x}))/((e^x+e^{-x))} ?

The solution to ((e^x-e^{-x}))/((e^x+e^{-x))} is (e^{2x}-1)/(e^{2x)+1}

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simplify ((e^x-e^{-x}))/((e^x+e^{-x))}

simplify

\frac{( e ^{x} - e ^{- x} )}{( e ^{x} + e ^{- x} )}

\frac{e ^{2 x} - 1}{e ^{2 x} + 1}

Solution steps

\frac{e ^{x} - e ^{- x}}{e ^{x} + e ^{- x}}

Factor

e^{x} - e^{- x} : e^{- x} (e^{2 x} - 1)

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

Factor

e^{x} + e^{- x} : e^{- x} (e^{2 x} + 1)

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

Cancel the common factor:

e^{- x}

= \frac{e ^{2 x} - 1}{e ^{2 x} + 1}

1 - \frac{64}{289}

833

36 \times \frac{1}{2}

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

7 (3 + 13)

What is ((e^x-e^{-x}))/((e^x+e^{-x))} ?
The solution to ((e^x-e^{-x}))/((e^x+e^{-x))} is (e^{2x}-1)/(e^{2x)+1}