Systems of nonlinear equations

Question

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