1. The problem statement, all variables and given/known data This problem shows up in Anton's Elementary Linear Algebra in the first chapter. It's one of the last problems, so I don't think that it is crucial for me to 'solve' it. But I would like to clear up some conceptual questions I have. First here is the problem statement: Solve the following system of nonlinear EQs for the unknown angles [itex]\alpha[/itex], [itex]\beta[/itex], and [itex]\gamma[/itex], where [itex]0\le\alpha\le2\pi[/itex], [itex]0\le\beta\le2\pi[/itex], [itex]0\le\gamma\le\pi[/itex]. [itex]2\sin\alpha - \cos\beta + 3\tan\gamma = 3[/itex] [itex]4\sin\alpha + 2\cos\beta - 2\tan\gamma = 2[/itex] [itex]6\sin\alpha - 3\cos\beta + \tan\gamma = 9[/itex] Here are my questions: 1) In all of this chapter (on elimination methods), we use Gaussian Elimination on systems of linear EQs. Can the elimination methods be used on a nonlinear system? 2) Since tan(gamma) is not defined at pi/2 , well..., I don't know what I am trying to ask. But surely this restriction will have some sort of impact on the solution(?). Thoughts?