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Problem 4: Write a function that solves problem 21 on page 253 of Gilat's book. Provide all math derivations that demonstrate how the polar coordinates
Problem 4: Write a function that solves problem 21 on page 253 of Gilat's book. Provide all math derivations that demonstrate how the polar coordinates of the sum vector are related to the polar coordinates of r1 and r2- 21. In polar coordinates a two-dimensional vector is y given by its radius and angle (r, ). Write a user- defined MATLAB function that adds two vectors that are given in polar coordinates. For the func- tion name and arguments use [r th] = AddVecPol (r1, th1, r2,th2 ), where the input arguments are (r,01) and (r2, 0,), and the output arguments are the radius and angle of the result. Use the function to carry out the following additions: ( ! = (5,23), r_ (12.40). (b) r1 = (6,80), r_ (15, 125) a) r
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