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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §9.4 Complex Numbers, #7 · Complex Numbers · Polar form

For complex numbers c=x+iy=re^{i\theta} and their conjugates \bar{c}=x-iy=re^{-i\theta}, find all possible locations…

For complex numbers c=x+iy=re^{i\theta} and their conjugates \bar{c}=x-iy=re^{-i\theta}, find all possible locations in the complex plane of (1) c+\bar{c} (2) c-\bar{c} (3) c\bar{c} (4) c/\bar{c}.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §9.4 Complex Numbers, #7

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