## 12.6.5 Review

Assignment:

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

Answers to the review questions:

1D

5C

6C

7D

8iC 8iiC 8iiiA

9C

11A

12A

13B

14

16a

16b

19a

19b

20

21

Assignment:

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

Answers to the review questions:

1D

5C

6C

7D

8iC 8iiC 8iiiA

9C

11A

12A

13B

14

\[ x = n\pi , x=\frac{\pi}{2} + n2\pi\]

16a

\[ x=0 , \frac{4\pi}{3} , \frac{2\pi}{3} \]

16b

\[ x =n2\pi , x= \frac{4\pi}{3}+n2\pi , x= \frac{2\pi}{3} + n2\pi \]

19a

\[\frac{3\sqrt{33}-16}{35}\]

19b

\[\frac{17}{49}\]

20

\[ \frac{\sqrt{3}-1}{2\sqrt{2}}\]

21

\[ x = 0 , \pi, \frac{\pi}{6} , \frac{5\pi}{6}\]

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

File | Description | File size |
---|---|---|

12.6.1.notes.pdf | 450 kB |

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

File | Description | File size |
---|---|---|

12.6.2a.notes.pdf | 398 kB | |

12.6.2b.notes.pdf | 442 kB |

Some points to remember:

- Set up your "Berlin Wall"
- Strategies to apply:

- Replacing known identities
- Second degree terms -> Pythagorean Identities
- Double Angle Identities should be converted to single angles
- Rewrite things in terms of sine and cosine if necessary

- Simplifying complex fractions (fancy 1) or combining fractions (common denominator)
- Look for GCF's or factors that can be reduced
- 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

File | Description | File size |
---|---|---|

12.6.3.notes.pdf | 243 kB |

Resources:

- Notes: 6.4 Solving Trigonometric Equations Using Identities

Assignment

- p320 #1-5 7-12 15

File | Description | File size |
---|---|---|

12.6.4.notes.pdf | 271 kB |

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