What is the general solution for sinh(x)=6 ?

The general solution for sinh(x)=6 is x=ln(6+sqrt(37))

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sinh(x)=6

sinh (x) = 6

x = ln (6 + 37)

Solution steps

sinh (x) = 6

Rewrite using trig identities

\frac{e ^{x} - e ^{- x}}{2} = 6

\frac{e ^{x} - e ^{- x}}{2} = 6 : x = ln (6 + 37)

x = ln (6 + 37)

2 sin (6 x) + 2 sin (2 x) = 0

tan^{2} (2 x) - 1 = sec (2 x)

- 1.92 = cos (x)

\frac{sin ^{2} ( x )}{4} = \frac{cos ^{2} ( x )}{2}

θ, 2 sin (θ) = tan (θ)

What is the general solution for sinh(x)=6 ?
The general solution for sinh(x)=6 is x=ln(6+sqrt(37))