(General Math)

a. Construct two classes named Rec_coord and Pol_coord. The Rec_coord class should contain two double-precision data members named xval and yval, used to store a point’s x and y values in rectangular coordinates. The member functions should include constructor and display functions and a friend function named conv_pol(). The Pol_coord class should contain two double-precision data members named dist and theta, used to store a point’s distance and angle values in polar coordinates. The member functions should include constructor and display functions and a friend function named conv_pol().

The friend function should accept an integer argument named dir, two doubleprecision arguments named val1 and val2, and two reference arguments named recref and polref. The recref argument should be a reference to an object of type Rec_coord, and the polref argument should be a reference to an object of type Pol_coord. If the value of dir is 1, val1 and val2 should be considered x and y rectangular coordinates to be converted to polar coordinates; if the value of dir is any other value, val1 and val2 should be considered distance and angle values to be converted to rectangular coordinates. For conversion from rectangular to polar coordinates, use the following formulas:

For conversion from polar to rectangular coordinates, use the following formulas:

x = r cosθ

y = r sinθ

b. Include the program written for Exercise 4a in a working C++ program.