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Solving a set of 3 Nonlinear Equations

In the following 3 equations: $$ k_1\cos^2(\theta)+k_2\sin^2(\theta) = c_1 $$ $$ 2(k_2-k_1)\cos(\theta)\sin(\theta)=c_2 $$ $$ k_1\sin^2(\theta)+k_2\cos^2(\theta) = c_3 $$ $c_1$, $c_2$ and $c_3$ are ...