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3.7: #2-5, 7, 12, 14, 16, 22, 28, 34, 38, 42, 46, 48, 50, 72, 78, 80, 82, 88
3.8: #1-4, 6, 12, 16, 18, 22, 26, 30, 36, 38, 40, 44, 46, 58, 60, 62
4.1 / 4.2 - Exponential Functions and their Graphs
4.1: #2-18 (evens), 22, 31, 32, 42, 44, 48, 50, 58, 62, 64
4.2: #4, 6, 12-22, 38, 40, 42
4.3 / 4.4 - Logarithmic Functions and their Graphs
4.3: #2, 3, 8, 12, 13, 15, 27, 28, 31, 33, 35, 40, 42, 44, 48, 50, 52, 54, 58, 66
4.4: #1, 4, 6, 10, 12, 26-30, 38-40, 42, 46, 47
4.5: #1, 2-38 (evens), 39-42
4.6: #1-3, 4-10 (evens), 14, 16, 18, 21, 27, 32-38 (evens), 42, 46, 48, 49, 56, 60, 63, 66, 70, 74, 76, 81
Note: A calculator and/or decimal representation should only be used if the angle in question is not one of the "special" angles.
5.1: #2, 4, 5, 23, 24, 30-36 (evens), 42, 48, 52, 54, 60, 62, 68, 70, 72
5.2: #2-4, 6-18 (evens), 38, 40, 42, 48, 52, 56, 66, 76, 82, 88, 90, 94, 98, 102, 104
5.3: #1-3, 38-50 (evens), 51, 70, 71, 72-76 (evens)
5.4: #10, 14-22 (evens), 42-46 (evens), 50, 54
6.1: #2, 4, 12, 20-28 (evens), 32-42 (evens), 48
6.2: #2, 4, 6-9, 12-18 (evens), 22, 28, 34, 36, 42, 44, 56, 57
6.3: #2, 6-14 (evens), 22, 24, 28, 34, 40, 48-50, 54, 57
7.1: #1, 4, 6, 8, 11, 13, 16-18, 29, 30, 32, 34, 38, 40, 41
7.2: #2-24 (evens), 26, 32, 37-39, 48, 50
7.3: #2-10 (evens), 15-17, 23-27 (odds), 28, 35, 37, 38, 43, 56, 59
7.4: #2, 6-20 (evens), 38-42 (evens)
7.5: #2, 4, 6, 10, 12, 18, 22, 26, 30, 36, 44, 48, 56, 74, 76, 93, 97, 104
8.1: #4, 6, 8, 12, 16, 20, 24-32 evens, 36, 42, 50, 54, 60, 62
8.2: #4, 8, 12, 18, 24, 30, 32, 36, 42, 48, 56, 62, 66, 78
8.3/8.4 (Combined)
8.3: #2, 4, 6-17, 19, 21, 27, 40-50, 56, 58, 60
8.4: #5, 8, 10, 12, 14, 16, 17
8.6: #2, 6, 8, 16, 20, 30, 34, 36, 41
Here is a link to a desmos graph that will allow you to see the effects of phase (horizontal) shift, period compression/stretch, amplitude compression/stretch, and vertical shift on the graphs of the sine and cosine functions.
Desmos - Sine and Cosine with Transformations
Here is a link to a desmos graph of some predator/prey models. The final graph is an example of what we may encounter when solving a more accurate model of the predator/prey interaction.
Here is a link to a desmos graph that allows you to enter a function and then move vertical and horizontal lines around freely to perform the vertical or horizontal line tests.
Desmos - Vertical and Horizontal Line Tests
Here is a link to a desmos graph that will graph a polar equation, as well as a prescribed list of polar coordinates. Desmos does not naturally plot polar coordinate pairs, so I had to create a "converter" that will turn the polar coordinates into rectangular coordinates, and then plot them.
Desmos - Polar Coordinate Converter
Showing that pi is irrational using a complex function.
I recently found this website that discusses a number of periodic phenomena, in case you are wondering what types of scientific applications there are to trigonometric functions. Additionally, the NOAA website includes a tide predictions tool where you can look at predicted tide data. You will want to use this website for your periodic modeling project.