R Formula

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Summary of R Formulas:
a sin x + b cos x = R sin (x + α)
a sin x - b cos x = R sin (x - α)
a cos x - b sin x = R cos (x + α)
a cos x + b sin x = R cos (x - α)
where R = √(a2 + b2) and α = tan-1 (b/a)