Question:
Solutions to Two Systems of Nonlinear Equations
1. Solve the following system of nonlinear equations for the unknown angles α, β,and γ,where 0 ≤ α ≤ 2π 0 ≤ β ≤ 2π, and 0 ≤ γ< π.
2 sin α - cos β +3 tan γ = 3
4 sin α + 2cos β -2 tan γ = 2
6 sin α - 3cos β + tan γ = 9
2. Solve the following system for x, y, and z.
1/x + 2/y - 4/z = 1
2/x + 3/y + 8/z = 0
-1/x + 9/y + 10/z = 5