What is the general solution for sinh(a)= 1/2 ?

The general solution for sinh(a)= 1/2 is a=ln((1+sqrt(5))/2)

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sinh(a)= 1/2

sinh (a) = \frac{1}{2}

a = ln (\frac{1 + 5}{2})

Solution steps

sinh (a) = \frac{1}{2}

Rewrite using trig identities

\frac{e ^{a} - e ^{- a}}{2} = \frac{1}{2}

\frac{e ^{a} - e ^{- a}}{2} = \frac{1}{2} : a = ln (\frac{1 + 5}{2})

a = ln (\frac{1 + 5}{2})

sin (x) = \frac{- 1}{\frac{5}{2}}

2 csc^{2} (θ) - 3 cot (θ) + 3 = 0

\frac{2 sin ( x ) + 1}{cos ( x )} = 0

sin (x) = 0.03725

tan (x) = 2.747

What is the general solution for sinh(a)= 1/2 ?
The general solution for sinh(a)= 1/2 is a=ln((1+sqrt(5))/2)