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)

tan (θ) = \frac{2}{2}

sin (θ) = \frac{33}{55}

2 cos (x) - 4 = - 3

\frac{sin ( 2 x )}{sin ( \frac{7 π}{2} - x )} = 2

- 2 sec (θ) + 23 = 0, 0^{\circ} \leq θ \leq 36 0^{\circ}

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