Polar to Rectangular ConversionsDate: 4/19/96 at 19:16:1 From: Anonymous Subject: Polar to Rectangular Conversions How do I convert "8 cis 30" into rectangular coordinates? I am totally lost. Thank you. Date: 8/4/96 at 16:22:33 From: Doctor Mike Subject: Re: Polar to Rectangular Conversions Hello, The expression "8 cis 30" is a way of writing the complex number "8*(cos(30) + i*sin(30))" which has Real part 8*cos(30) and has Imaginary part 8*sin(30). Usually the system of complex numbers is thought of as a plane, similar to the usual Cartesian plane that consists of pairs (X,Y) of real numbers. In this interpretation, your polar-type expression "8 cis 30" converts to a rectangular ordered pair (8*cos(30) , 8*sin(30)). The sine of 30 degrees is one half, and the cosine of 30 degrees is one half of the square root of three, so this ordered pair is (4*sqrt(3), 4) I hope this is the information you needed. -Doctor Mike, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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