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Question: How do I deal with infinite solutions in MultivariateCalclulus Lagrange multipliers?

Question:How do I deal with infinite solutions in MultivariateCalclulus Lagrange multipliers?

Luxio 25 Maple
homework plotting multivariate-calculus lagrangemultipliers
March 13 2022
2

The Multivariate Calculus lagrange multipliers function acts weird if I try  to compute something with infinite Extrema like sin(x)+sin(y) with the constraint being a straight line like 1-x-y=0
The output is something like
[1 + arctan((cos(1) - 1)/sin(1)) - Pi*_Z7, -arctan((cos(1) - 1)/sin(1)) + Pi*_Z7]

and trying to output a plot fails outright. 

My questions are:

1) What exactly is this z7 in the output? 

2) is there a way to get Lagrange multipliers to output concrete values for some of the infinite points, like for example, all points with -2<x<2?

3) If 2) is not possible, how could I calculate the points manually?
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