USE MATLAB TO ANSWER:

Write a function file called coord_convert.m that converts rectangular coordinates to polar coordinates or vice versa.

There should be 3 inputs to coord_convert.m: coordinates a and b and a character string called coord that has the value rectangular if the input coordinates are rectangular coordinates or polar if the input coordinates are polar coordinates.

There should be 2 outputs from coord_convert.m: coordinates c and d in the new coordinate system. The values of c and d should be calculated as described in Appendix A.

If coord is anything other than rectangular or polar the values of the outputs c and d should both be set equal to NaN

Be sure to include comments describing the function and its inputs and output.

Appendix A - Coordinate Conversion Formulas If the input coordinates a and b are rectangular coordinates, calculate the corresponding polar coordinates as follows. tan-(b/a)if a >0 ? + tan-1 (b/a) if a 0 if a0 and b