Solve sin y = .814 - 7.718 * sin x: y = 24.079

[Craig is Lege]

Homework Statement

sin y = .814 - 7.718 * sin x

Solve for y

Homework Equations

The Attempt at a Solution

I know the answer to the solution is y = 24.079 (sin1.751x - .138) + 17.711

I do not know the work to get here though...

 

[Mark44]

Well, the obvious thing to do is take the inverse sine of both sides.
That would give you sin^(-1)(sin (y)) = sin^(-1)(.814 - 7.718*sin(x))

IOW, y = sin^(-1)(.814 - 7.718*sin(x))

The graph of this function is nothing like the graph of what you gave as the solution, so I would have to ask you why it is that you know that y = 24.079 (sin1.751x - .138) + 17.711 is the solution.