What is the general solution for solvefor x,Y=0.5sin(3.07x-2.4t+0.59) ?

The general solution for solvefor x,Y=0.5sin(3.07x-2.4t+0.59) is

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solvefor x,Y=0.5sin(3.07x-2.4t+0.59)

solve for

x, Y = 0.5 sin (3.07 x - 2.4 t + 0.59)

x = \frac{arcsin ( 2 Y )}{3.07} + \frac{2 πn}{3.07} + \frac{2.4 t}{3.07} - \frac{0.59}{3.07}, x = \frac{π}{3.07} + \frac{arcsin ( - 2 Y )}{3.07} + \frac{2 πn}{3.07} + \frac{2.4 t}{3.07} - \frac{0.59}{3.07}

Solution steps

Y = 0.5 sin (3.07 x - 2.4 t + 0.59)

Switch sides

0.5 sin (3.07 x - 2.4 t + 0.59) = Y

Multiply both sides by

10

5 sin (3.07 x - 2.4 t + 0.59) = Y \cdot 10

Divide both sides by

5

sin (3.07 x - 2.4 t + 0.59) = 2 Y

Apply trig inverse properties

3.07 x - 2.4 t + 0.59 = arcsin (2 Y) + 2 πn, 3.07 x - 2.4 t + 0.59 = π + arcsin (- 2 Y) + 2 πn

Solve

3.07 x - 2.4 t + 0.59 = arcsin (2 Y) + 2 πn : x = \frac{arcsin ( 2 Y )}{3.07} + \frac{2 πn}{3.07} + \frac{2.4 t}{3.07} - \frac{0.59}{3.07}

Solve

3.07 x - 2.4 t + 0.59 = π + arcsin (- 2 Y) + 2 πn : x = \frac{π}{3.07} + \frac{arcsin ( - 2 Y )}{3.07} + \frac{2 πn}{3.07} + \frac{2.4 t}{3.07} - \frac{0.59}{3.07}

x = \frac{arcsin ( 2 Y )}{3.07} + \frac{2 πn}{3.07} + \frac{2.4 t}{3.07} - \frac{0.59}{3.07}, x = \frac{π}{3.07} + \frac{arcsin ( - 2 Y )}{3.07} + \frac{2 πn}{3.07} + \frac{2.4 t}{3.07} - \frac{0.59}{3.07}

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What is the general solution for solvefor x,Y=0.5sin(3.07x-2.4t+0.59) ?
The general solution for solvefor x,Y=0.5sin(3.07x-2.4t+0.59) is