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seen from Türkiye
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seen from Russia
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Harmonic Form
Rcos(θ + a) or Rsin(θ + a)
Uses trig angle formulae
Example: 2sin x + 5cos x = Rsin(x + a)
2sin x + 5 cosx = Rsin(x)cos(a) + Rsin(a)cos(x)
Rcos(a) = 2, Rsin(a) = 5; tan(a) = 5/2 --> tan-1(5/2) = 68.2°
R2cos2(x) + R2sin2(x) = 22 + 52 R2(cos2(x) + sin2(x)) = R2(1) = 22 + 52 = 29 R = √29
= √29cos(x + 68.2°)
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