What is the general solution for solvefor y,7e^x-sin(y)=x ?

The general solution for solvefor y,7e^x-sin(y)=x is y=arcsin(-x+7e^x)+2pin,y=pi+arcsin(x-7e^x)+2pin

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solvefor y,7e^x-sin(y)=x

solve for

y, 7 e^{x} - sin (y) = x

y = arcsin (- x + 7 e^{x}) + 2 πn, y = π + arcsin (x - 7 e^{x}) + 2 πn

Solution steps

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

Move

7 e^{x}

to the right side

- sin (y) = x - 7 e^{x}

Divide both sides by

- 1

sin (y) = - x + 7 e^{x}

Apply trig inverse properties

y = arcsin (- x + 7 e^{x}) + 2 πn, y = π + arcsin (x - 7 e^{x}) + 2 πn

sin (B) = 0.4848

2 sin^{2} (θ) = 3 - 4 cos (θ)

sin (x) = \frac{10}{12}

3 cot (x) = - 1, 0 \leq x \leq 2 π

sin (x) = \frac{10}{14}

What is the general solution for solvefor y,7e^x-sin(y)=x ?
The general solution for solvefor y,7e^x-sin(y)=x is y=arcsin(-x+7e^x)+2pin,y=pi+arcsin(x-7e^x)+2pin