Theory of Intelligence
11TH•Mathematics•Complex Numbers•Exercise 1.5

Theory

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Theory

  • Divide a+bic+di\dfrac{a+bi}{c+di} by multiplying by the conjugate c−dic-di.
  • Convert x+iyx+iy to polar using:
r=x2+y2,θ=tan⁡−1(yx) (adjust quadrant)r=\sqrt{x^2+y^2},\quad \theta=\tan^{-1}\left(\frac{y}{x}\right)\ \text{(adjust quadrant)}

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