Show that the following nonlinear system has 18 solutions if 0 2, 0 2, and 0 2 2sin cos 3 tan 3 4sin 2 cos 2 tan 2 6sin 3 cos tan 9

Question: Show that the following nonlinear system has 18 solutions if 0 2, 0 2, and 0 <

Show that the following nonlinear system has 18 solutions if 0 ≤ α ≤ 2π, 0 ≤ β ≤ 2π, and 0 ≤ γ < 2π.
2sin α - cos β + 3 tan γ = 3
4sin α - 2 cos β + 2 tan γ = 2
6sin α - 3 cos β + tan γ = 9

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