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# AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

## Thursday, September 29, 2005

### Scribe

Today in class, we discussed about the graphing of trig. functions, more specifically, sine and cosine functions. There were examples on the board that we copied and tried to answer. The basic form for a sin function looks like this:

f(x)= A (sin or cos) B(x-C)+D

A represents the amplitude of the function.
B helps tell you the period of the curve.
C is the phase shift (moves the function left or right).
D is the vertical shift and is the sinusoidal axis.

The one problem with graphing the function is B because you have to solve for the period.

Period = 2π/B

If you know B, and want to know the period just use the formula below.

B = 2π/P

When graphing the sine or cosine function, remember DABC. The order of the letters when graphing are D, A, B, and C, hence DABC. How you label the x-axis is important because you can label it π/2, π, etc. or you can label it 1, 2, 3, etc. No matter what you need at least four increments along the x-axis.