What is the general solution for solvefor y,x=sinh(y) ?

The general solution for solvefor y,x=sinh(y) is y=ln(x+sqrt(x^2+1)),y=ln(x-sqrt(x^2+1))

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solvefor y,x=sinh(y)

solve for

y, x = sinh (y)

y = ln (x + x^{2} + 1), y = ln (x - x^{2} + 1)

Solution steps

x = sinh (y)

Switch sides

sinh (y) = x

Rewrite using trig identities

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

\frac{e ^{y} - e ^{- y}}{2} = x : y = ln (x + x^{2} + 1), y = ln (x - x^{2} + 1)

y = ln (x + x^{2} + 1), y = ln (x - x^{2} + 1)

- 3 cos (2 θ) + cos (θ) - 10 = - 6 cos (θ) - 5

7 cot (θ) = 3 csc (θ)

5 sin (x) = 2

4 (cot (θ) + 1) = 2 (cot (θ) + 2)

sin (3 t) = 0

What is the general solution for solvefor y,x=sinh(y) ?
The general solution for solvefor y,x=sinh(y) is y=ln(x+sqrt(x^2+1)),y=ln(x-sqrt(x^2+1))