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Undergrad Trigonometric simplification: -a*sin(wt) + w*cos(wt)
I'm trying to figure out the steps required to do the following simplification: This equation: b/(a^2+ ω^2 )*(-a*sin(ω*t)+ω*cos(ω*t)) can be simplified to the following: (b/√(a^2+ ω^2 ))*sin(ω*t+ θ) θ= tan^(-1) (- ω/a) I can numerically verify that this is true but I am having...- SubtleAphex
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- Trigonometric
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- Forum: General Math