What is the general solution for sinh(3x)-3sinh(x)=0 ?

The general solution for sinh(3x)-3sinh(x)=0 is x=0

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sinh(3x)-3sinh(x)=0

sinh (3 x) - 3 sinh (x) = 0

x = 0

Solution steps

sinh (3 x) - 3 sinh (x) = 0

Rewrite using trig identities

\frac{e ^{3 x} - e ^{- 3 x}}{2} - 3 \cdot \frac{e ^{x} - e ^{- x}}{2} = 0

\frac{e ^{3 x} - e ^{- 3 x}}{2} - 3 \cdot \frac{e ^{x} - e ^{- x}}{2} = 0 : x = 0

x = 0

cos (4 x) = sin (2 x)

csc (θ) = 2

- sin (x) - cos (x) = 0

sec (x) sin (x) - 2 sin (x) = 0

4 cos^{2} (x) = 3

What is the general solution for sinh(3x)-3sinh(x)=0 ?
The general solution for sinh(3x)-3sinh(x)=0 is x=0