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In the equation $$x\cos(\theta) + y\sin(\theta) = z,$$ how do I solve in terms of $\theta$? i.e $\theta = \dots$.

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    Linear equations in $\sin \theta$ and $\cos \theta$ can be solved by a resolvent quadratic equation. One method is to write the $\sin \theta$ and $\cos \theta$ functions in terms of the $\tan (\theta/2)$.2011-04-15

3 Answers 3