Problem 1 Perform the following mathematical operations with complex numbers, and express your answer in polar and rectangular form: a) 42 2 45° + 62 2 60° – 70 Z 120° (64 20°)(1202 -40°)(3 + j8) 22 30° b) c) (0.02 z 120°)(0.6 2 35°)(40 2 –80°) (0.4 2-60°)(3002-70°) d) 3-j9

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Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.