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

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

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solvefor x,sin(x)=sin(y)

solve for

x, sin (x) = sin (y)

x = arcsin (sin (y)) + 2 πn, x = π + arcsin (- sin (y)) + 2 πn

Solution steps

sin (x) = sin (y)

Apply trig inverse properties

sin (x) = sin (y)

General solutions for

sin (x) = sin (y)

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

x = arcsin (sin (y)) + 2 πn, x = π + arcsin (- sin (y)) + 2 πn

x = arcsin (sin (y)) + 2 πn, x = π + arcsin (- sin (y)) + 2 πn

cos^{2} (x) = \frac{( 5 k - 3 )}{3}

cos^{2} (2 x) = \frac{1}{4}

3 cos^{2} (x) - cos (2 x) = 1

sin (2 x) + sin (4 x) = cos (x)

25 cos^{2} (x) - 10 cos (x) - 1 = 0

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