Unit 1:
Angles:
How to measure in both degrees and radians
Know the conversion between degrees and radian measure
4.1
Sine and Cosine:
With sine graphs, they always start at the origin.
The formula for graphing a sine graph is
y = A sin(B(x - C)) + D,
|A| = amplitude
B = cycles from 0 to 2pi
period = 2 pi over B
D = vertical shift (or displacement)
C = horizontal shift (sometimes called "phase shift" when B = 1)
This problem is also a combination of dealing with the values of A and B. The A value of 1/2 tells us that the graph will have a vertical shrink and an amplitude of 1/2. The B value of 3 tells us that 3 complete cycles of the graph will be seen in the standard domain of 0 to (there will be a horizontal shrink).
The period of this new graph will be (or 120º).
Here you see the use of the Term SOH CAH TOA to find the missing side.
Here is an example of finding the missing side using the formula.