What is the general solution for solvefor x,sin(x)=e^y ?

The general solution for solvefor x,sin(x)=e^y is x=arcsin(e^y)+2pin,x=pi+arcsin(-e^y)+2pin

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solvefor x,sin(x)=e^y

solve for

x, sin (x) = e^{y}

x = arcsin (e^{y}) + 2 πn, x = π + arcsin (- e^{y}) + 2 πn

Solution steps

sin (x) = e^{y}

Apply trig inverse properties

sin (x) = e^{y}

General solutions for

sin (x) = e^{y}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (e^{y}) + 2 πn, x = π + arcsin (- e^{y}) + 2 πn

x = arcsin (e^{y}) + 2 πn, x = π + arcsin (- e^{y}) + 2 πn

sin^{4} (x) - sin^{2} (x) + 1 = 0

tan^{3} (x) - tan^{2} (x) - 3 tan (x) + 3 = 0, tan (x) > 1

sin (2 0^{\circ} - θ) - cos (1 0^{\circ} + 3 θ) = 0

tan (x) = \frac{1}{1}

cos (2 θ) + 3 sin (θ) = 2

What is the general solution for solvefor x,sin(x)=e^y ?
The general solution for solvefor x,sin(x)=e^y is x=arcsin(e^y)+2pin,x=pi+arcsin(-e^y)+2pin