# Math 1060 - Trigonometry - Fall 2014

## Logistics

Syllabus
Meets Tuesdays and Thursdays at 6:00pm in JTB 130. Office hours are Mondays and Wednesdays from 1pm to 2pm, Thursdays from 11:20am to 12:20pm, or by appointment. My office is in JWB 314.

## Homework

Assignment 1. Due September 4th at the start of class.

Assignment 2. Due September 11th at the start of class.

Assignment 3. Due September 16th (on Tuesday!) at the start of class.

Assignment 4: Complete the following problems from the textbook:

Section 4.1 numbers 57,58,61,63,64.
Section 4.7 numbers 1,2,3,5 thru 9, 53,54,61,66,67.
Due October 2nd at the start of class.

Assignment 5: Due October 7th. Complete the following problems from the textbook:

Section 4.8 numbers 6, 9, 24, 51, 52. For this section, you can just write down an expression for the answer (e.g. 2*sin(19)/tan(54)) if you don't have a calculator. Note that you can use Google as a calculator. Make sure you're in degrees mode if you use it!
Section 5.1 numbers 1 thru 6, 10, 12, 17, 18, 39.

Assignment 6: Complete the following problems from the textbook:

Section 5.2 numbers 6, 8, 9, 14, 28, 41, 52, 59, 71, 73.
Section 5.3 numbers 6, 7, 8, 11, 18, 21, 24, 25, 37, 38, 43, 45, 63.
Due October 30th at the start of class.

Assignment 7: Complete the following problems from the textbook:

Section 5.4 numbers 11, 14, 19, 27, 28, 57, 86.
Section 5.5 numbers 8, 9, 27, 28, 29, 68 (hint: x^4 = (x^2)^2).
Due November 6th at the start of class.

Assignment 8: Complete the following problems from the textbook:

Section 6.1 13, 14, 15, 18, 21, 22, 30
Section 6.2 6, 8, 9, 10, 32, 33, 36
Due November 11th (Tuesday!) at the start of class.

Assignment 9:

Complete this worksheet. Further, complete the following problems from the textbook:
Section 6.3 49—52, 63, 65—70
Section 6.4 15—23 odd (note: the word "scalar" just means "number"), 31, 33, 55, 59, 60
Due November 25th (Tuesday!) at the start of class.

Assignment 10:

Complete the following problems from the textbook:
Section 6.5 11, 31, 46, 49, 50, 57, 59 (for these last two, just convert to trig form and multiply), 73, 80, 86
Section 10.7 5, 8, 14, 23, 26, 44, 47, 71, 77, 97, 104, 105
Section 10.8 23, 24, 28, 39, 41, 80
Extra Credit Section 10.8 numbers 39, 41, 71—73 80
Due December 9th (Tuesday!) at the start of class.

## Resources

A gif explaining the definition of a radian: imgur.com/r/math/AQUrYb1.
A note on this gif: in class, we said that an angle θ is a radians if θ intercepts an arc of length ra on a circle of radius r (and θ goes counter clockwise! Otherwise θ is -a radians). Another way of thinking about this (and this is what the gif illustrates) is that an angle θ is 1 radian if the length of an arc θ intercepts on a circle is equal to the radius of that circle (we get this if we plug in "r=1" in our first definition).

### Ebook/Rental

Here's where you can rent the textbook or buy the ebook version

### Unit circle

Here's an excellent diagram of the unit circle with some important points labelled: Unit circle
If that link doesn't work for you try this one: Unit circle 2. You'll need these diagrams to compute trig functions on the homework!

### Graphing Trig functions

Here is the Wolfram demonstration we'll use in class on September 11. To play around with the demo, you'll need the Wolfram CDF player, available here for free. It should also be installed on computers in the library.

Here it is.

Here it is.

Here it is.

### Final exam practice worksheet

Here it is. Turn in this worksheet before the final exam to get extra credit for up to 3% of your grade.

Solutions

### Commonly used Greek letters

Here's a list of Greek letters we've used in our class
Letter Name Use
α Alpha (lowercase) Often used to denote angles. It looks more like a fish when I draw it on the board, to distinguish it from the letter "a".
β Beta (lowercase) Often used to denote angles
θ Theta (lowercase) Often used to denote angles
ω Omega (lowercase) Often used to denote angular speed
Here are some other Greek letters it's helpful to know
 Δ Delta (upper case) Used to denote the change in some quantity μ Mu (lower case) Used to denote the prefix "micro" in the metric system. For example, "μg" means "micrograms", or one millionth of a gram ε Epsilon (lower case) Used in math to denote a small number. Not be confused with the symbol ϵ, which means "in". δ Delta (lower case) Used to denote a small number if epsilon is already taken

### Demos: Multiplication of complex numbers and polar plotting

I tried to present two demos in class today (12/9) but they didn't work. Anyway, you might find it fun/helpful to try them out on your own. The demo about multiplying complex numbers is found here, while the demo about plotting polar functions is found here. To use either of these demos, you'll need that same Wolfram CDF player from before, found here.

A word on the first demo: the upshot is that if you move the green point outward along the direction it's pointing in, the red point, which is the blue point times the green point, will move outward along the direction it's pointing. The direction of the red point will stay the same as long as the directions of the blue and green points stay the same. Moreover, the angle of the red point is just the angle of the blue point plus the angle of the green point. If you rotate the green point clockwise by some amount, the red point will rotate clockwise by the same amount, and so on.