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14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017 Algebra II/Trig Today : Notes/Examples Trigonometric Identities Practice 141 Front Table Day 1: front Day 2: back I can verify and simplify trigonometric identities WS on Verify Today's Target I Can... 141 Trig Identities alg 1 ... verify and simplify trigonometric identities

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Page 1: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Algebra II/Trig

Today :Notes/Examples ­ Trigonometric IdentitiesPractice 14­1 ­ Front Table Day 1:  front    Day 2:  back

I can verify and simplify trigonometric identities 

  WS on Verify

Today's TargetI Can...

14­1 Trig Identities alg 1

... verify and simplify trigonometric identities

Page 2: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

1. Graph: 

2. Graph: 

3. Write a conjecture about the relationship between Y1 and Y2.

Page 3: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Page 4: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Page 5: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Therefore, there are the BASIC 8

Page 6: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Verifying or proving a trigonometric identity involves using logical steps to show that one side of the equation can be transformed into the other side of the equation.

An identity is a statement or equation that is always true.

Note ­ you must start with one side and transform it into the other side.  You may not start transforming both sides until they meet in the middle.Suggestion ­ it is usually better to start with the more complicated side.

Page 7: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Page 8: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Today's TargetI Can...

14­1 Trig Identities Day 2 alg 1

... verify and simplify trigonometric identities

Simplify: tan θ cot θEx3a)

Page 9: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Ex 4.  Simplify   csc θ tan θ

Page 10: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

Ex 5.  Simplify   

Ex 6.  Simplify   

Page 11: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017

YOTL:  BACK SIDE OF WS 14.1

Page 12: 14.1 USE DAY 1 AND 2 with Day 1 finished 2017-18.notebookstaff.bbhcsd.org/marlowd/files/2017/12/14.1-USE...14.1 USE DAY 1 AND 2 with Day 1 finished 201718.notebook December 04, 2017

14.1 USE DAY 1 AND 2  with Day 1 finished 2017­18.notebook December 04, 2017