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Math — Harmonic (R) Form

Writing a cosθ + b sinθ as a single sinusoid.

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a\cos\theta + b\sin\theta = R\cos(\theta - \alpha)

R = \sqrt{a^2 + b^2}

\tan\alpha = \frac{b}{a}

\text{max} = R, \quad \text{min} = -R