Let z e C. 0 is how I write theta below !!! If z = r cos(0) + r sin(0) i in polar coordinates, then z^-1 = r^-1 cos (-0) + r^-1 sin(-0) i and, z^-1 = r^-1 cos (0) - r^-1 sin(0) i How do I prove this? Thanks in advance!
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Originally Posted by jzellt Let z e C. 0 is how I write theta below !!! If z = r cos(0) + r sin(0) i in polar coordinates, then z^-1 = r^-1 cos (-0) + r^-1 sin(-0) i and, z^-1 = r^-1 cos (0) - r^-1 sin(0) i How do I prove this? Thanks in advance! This is an application of DeMoivre's Theorem... . So . These are some well-known identities: and (Check their graphs if you have to)... So .
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