**MATH 141 -
PRECALCULUS**

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**•
NOTES FOR MIDTERM 4**

**•
OUTLINE FOR MIDTERM 4:****
**Math141Outline4.pdf

**BIG
FILES:****
**Sections
5.1-5.3 … Sections
5.4-5.5 and IDs** **…** **Chapter 6 … Handout: “More Trig IDs”
handout will be handed out in class. It is critical!

**SMALLER
FILES (if you can’t get the big files):**

**Chapter
5: Analytic Trig (61 pages)**

Section 5.1 in Larson:
Fundamental Identities (IDs)

**Basic
Trig IDs (handed out in class from Ch.4): **Basic Trig IDs
(also in 5.1 notes)

Section 5.2 in Larson:
Verifying Trig IDs

Section
5.3 in Larson: Solving Trig Equations

Sections 5.4 and 5.5 in Larson:
More Trig Ids

**More
Trig IDs (handed out in class): **Handout. It is critical!

**• DERIVATIVES OF TRIG FUNCTIONS (OPTIONAL)**

We
mentioned this at the end of Chapter 5. If you're curious, here are some
calculus notes on this topic: Section 3.4 (pdf) from Math 150

**Chapter
6: Additional Topics in Trig (38 pages of primary notes)**

Section 6.1 in Larson: The Law
of Sines

Section 6.2 in Larson: The Law
of Cosines

**Flowchart
for Sections 6.1 and 6.2** (better for practical use than actual
"memorization")

Section 6.3 in Larson: Vectors
in the Plane

Section 6.4 in Larson: Vectors
and Dot Products

Section 6.5 in Larson: Trig
Form of a Complex Number

**Related
"Handout"**
(not handed out in class, though; print it!

**Khan
Academy on Euler’s Formula** (Do you have emotion?)

https://www.youtube.com/watch?v=mgNtPOgFje0

** (Page Count)**

Midterm
4 Notes: about 99 pages

So
far: about 448 pages total

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