What is the general solution for solvefor x,y=2sin(x) ?

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

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solvefor x,y=2sin(x)

solve for

x, y = 2 sin (x)

x = arcsin (\frac{y}{2}) + 2 πn, x = π + arcsin (- \frac{y}{2}) + 2 πn

Solution steps

y = 2 sin (x)

Switch sides

2 sin (x) = y

Divide both sides by

2

2 sin (x) = y

Divide both sides by

2

\frac{2 sin ( x )}{2} = \frac{y}{2}

Simplify

sin (x) = \frac{y}{2}

sin (x) = \frac{y}{2}

Apply trig inverse properties

sin (x) = \frac{y}{2}

General solutions for

sin (x) = \frac{y}{2}

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

x = arcsin (\frac{y}{2}) + 2 πn, x = π + arcsin (- \frac{y}{2}) + 2 πn

x = arcsin (\frac{y}{2}) + 2 πn, x = π + arcsin (- \frac{y}{2}) + 2 πn

2 cos (3 x) + cos (2 x) + 1 = 0

4 + 2 tan^{2} (θ) = 5 tan^{2} (θ) + 3

sin (x) = sin (\frac{π}{5})

x, sin (2 x) = cos (2 x)

cos (x) = \frac{16}{15}

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