trig properties

Trig Properties:

One of the most important types of motion in physics is simple harmonic motion, which is related to systems such as objects whose mass oscillates on a spring. Simple sine or cosine functions can be used to describe simple harmonic motion. In this section, we expand our understanding of derivative formulas to include the derivatives of these and other trigonometric functions. We start with the derivatives of the sine and cosine functions and then use them to get formulas for the derivatives of the remaining four trigonometric functions. Being able to calculate the derivatives of the sine and cosine functions will allow us to find the speed and acceleration of simple harmonic motion.

TRIG PROPERTIES

Derivative of Sine, Cosine:

We began to explore the derivative of the sine function by making reasonable guesses at its derivatives using formulas. Recall that for the function f (x),