What is the formula for a sine wave and how is it used in mathematical calculations?

The formula for a sine wave is y A sin(Bx C), where A is the amplitude, B is the frequency, and C is the phase shift. Sine waves are used in mathematical calculations to model periodic phenomena such as sound waves, light waves, and electrical signals. They are also used in trigonometry, physics, and engineering to analyze and predict the behavior of oscillating systems.