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

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

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solvefor y,e^x-sin(y)=x

solve for

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

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

Solution steps

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

Move

e^{x}

to the right side

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

Divide both sides by

- 1

sin (y) = - x + e^{x}

Apply trig inverse properties

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

cot (x) - tan (x) = 23

cos (5 t) cos (3 t) = \frac{1}{2} + sin (- 5 t) sin (3 t)

sin (3 θ + 7 2^{\circ}) = cos (4 8^{\circ}), 0^{\circ} \leq θ \leq 36 0^{\circ}

cot^{2} (y) + csc (y) - 5 = 0

2 cos (θ) = 1, 0 \leq θ < 2 π

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