(Conversion) The polar coordinates of a point consist of the distance, r, from a origi...

(Conversion) The polar coordinates of a point consist of the distance, r, from a origin and an angle, θ, with respect to the x-axis. The point's x and y coordinates are related to its polar coordinates by these formulas:

Using these formulas, write a C++ program to calculate the x and y coordinates of a point with the polar coordinates r = 10 and θ = 30 degrees. 'Verify the results your program produces by calculating the results manually After verifying that your program is working correctly, use it to convert the polar coordinates r = 12.5 and θ = 67.8 degrees into rectangular coordinates .