## 12.6.5 Review

Assignment:

• Textbook p322 #1-21
• Review from notes booklet: #1, 5-14, 16, 18-21

1D
5C
6C
7D
8iC  8iiC   8iiiA
9C
11A
12A
13B

14

16a

16b

19a

19b

20

21

## 12.6.1 Reciprocal and Pythagorean Identities

Resources:

Assignment

• p297 #1-8, 10, 11, 13, 14, C1 C2 *16 *17

Things you should know after today:

• know how the Pythagorean Identities are derived
Attachments:
FileDescriptionFile size
12.6.1.notes.pdf 450 kB

## 12.6.2 Sum and Difference Identities

Resources:

Assignment

• p306 #1, 12, 6-10, 17, 19
• Example from notes
• p306 #3-5, 11, 12, 13, 15, 16

Things you should know after today

Attachments:
FileDescriptionFile size
12.6.2a.notes.pdf 398 kB
12.6.2b.notes.pdf 442 kB

## 12.6.3 Proving Identities

Some points to remember:

• Set up your "Berlin Wall"
• Strategies to apply:
1. Replacing known identities
1. Second degree terms -> Pythagorean Identities
2. Double Angle Identities should be converted to single angles
3. Rewrite things in terms of sine and cosine if necessary
2. Simplifying complex fractions (fancy 1) or combining fractions (common denominator)
3. Look for GCF's or factors that can be reduced
4. Look for Binomial conjugates.  Often you can use a "fancy 1" on one side of the wall to make a difference of squares that will turn into a Pythagorean Identity

Resources:

• Notes: 6.3(a abd b) Proving Identities

Assignment

• p314 #1-7 C1 C2
• p314 #9-15
Attachments:
FileDescriptionFile size
12.6.3.notes.pdf 243 kB

## 12.6.4 Using Identities to Solve Equations

Resources:

• Notes: 6.4 Solving Trigonometric Equations Using Identities

Assignment

• p320 #1-5 7-12 15
Attachments:
FileDescriptionFile size
12.6.4.notes.pdf 271 kB