Write a program that verifies the trig identity cos(A + B) = cos A cos B sin A sin B.

Input two angles A and B in degrees from user and convert the angles to radians. Then output cos(A + B) and cos A cos B sin A sin B of the two angles A and B. The input and output should be exactly:

What is the degree of angle A?

[USER ENTERS AN DECIMAL NUMBER]

What is the degree of angle B?

[USER ENTERS AN DECIMAL NUMBER]

The left-hand-side of the trig identity evaluates to [cos(A+B)].

The right-hand-side of the trig identity evaluates to [cosAcosB - sinAsinB].

INSTRUCTION: You may want to define PI as a constant double for your conversion. You may not use stdafx.h. Just as in Homework 1, use header comments to illustrate the purpose of your code, your name, date, etc.