What is the general solution for sinh(x)=(sqrt(2))/2 ?

The general solution for sinh(x)=(sqrt(2))/2 is x=ln((sqrt(2)+sqrt(6))/2)

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sinh(x)=(sqrt(2))/2

sinh (x) = \frac{2}{2}

x = ln (\frac{2 + 6}{2})

Solution steps

sinh (x) = \frac{2}{2}

Rewrite using trig identities

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

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

x = ln (\frac{2 + 6}{2})

sin^{2} (2 x) = cos^{2} (x)

- 2 sin (2 x) sin (x) = sin (2 x)

2 sin (θ) - 2 = 0, 0 \leq θ \leq 2 π

sin (θ) - 0.2 cos (θ) = \frac{6.25}{9.8}

3 cos (θ) = 8 tan (θ)

What is the general solution for sinh(x)=(sqrt(2))/2 ?
The general solution for sinh(x)=(sqrt(2))/2 is x=ln((sqrt(2)+sqrt(6))/2)