What is the general solution for sinh(x)=sinh(-x) ?

The general solution for sinh(x)=sinh(-x) is x=0

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sinh(x)=sinh(-x)

sinh (x) = sinh (- x)

x = 0

Solution steps

sinh (x) = sinh (- x)

Rewrite using trig identities

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

\frac{e ^{x} - e ^{- x}}{2} = \frac{e ^{- x} - e ^{- (- x)}}{2} : x = 0

x = 0

\frac{π}{4} = arctan (t)

sin (2 x) sin (x) cos (x) = 0

sin (4 x) - cos (4 x) = sin (2 x) - cos (2 x)

2 \cdot sin^{2} (x) - 1 = 0

sin^{2} (\frac{x}{2}) = sin^{2} (x)

What is the general solution for sinh(x)=sinh(-x) ?
The general solution for sinh(x)=sinh(-x) is x=0