In an Argand diagram, O is the origin and the points P and Q represent the complex numbers z1 and z2 respectively. If triangle OPQ is equilateral, prove that z1? + z2 = 212•

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Q: Given the complex numbers zi = 20 cis 226° and 72 = 5 cis 76°, find the quotient . Z1 Z2

A: z1=20cis2260=20cos2260+isin226°=20ei226°z2=4cis76°=4(cos76°+isin76°)=4ei76°

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Q: Let z be a complex number. Then cot(5z-pi)=coth(5z)?

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