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Level 1 Simplifying Identities Day 1.notebook 1 January 09, 2014 Jan 83:51 PM simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean
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Page 1: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

1

January 09, 2014

Jan 8­3:51 PM

simplifying trig expressions 

day2Level 1    Ch.7   

Reciprocal, Quotient,Pythagorean  

Page 2: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

2

January 09, 2014

Nov 18­6:33 PM

Warm-Up:1.

Checking Homework:  

Worksheet Day 1 Front and Back

Simplify:  tan2x cos2x cscx

2. Simplify:  cosx (secx ‐ cosx) 

Page 3: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

3

January 09, 2014

Jan 9­1:26 PM

Page 4: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

4

January 09, 2014

Jan 9­1:28 PM

Page 5: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

5

January 09, 2014

Jan 9­11:26 AM

Page 6: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

6

January 09, 2014

Jan 9­11:32 AM

Page 7: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

7

January 09, 2014

Jan 8­3:36 PM

Target

Agenda

Purpose

Evaluation

Agenda

Purpose

Evaluation

TSWBAT: Use Reciprocal, Quotient, and Pythagorean identities to simplify trig expressions

Warm-Up/Homework Check

Lesson

BAT: look at information in a different way, To think outside the box, and simplify complicated problems

2-1-Fun!

Page 8: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

8

January 09, 2014

Mar 20­7:41 AM

Distributing Trig Functions

On Your Own:

tan x ( tan x + cot x) 

Like:  x ( 1‐x ) ==> x – x2

Cosx (secx ‐ cosx) 

Page 9: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

9

January 09, 2014

Mar 20­3:16 PM

Foiling Trig FunctionsLike: (1+ x )2 = (1+ x ) (1+x)  

= 12+2x + x2   = 1+2x + x2

Let x = cot A(1+cot A)2 = 

    =

    =

On your own:(cosA + sinA)2

Page 10: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

10

January 09, 2014

Dec 3­8:31 AM

Combining Fractions with Trig Functionstanθ + cotθ

Page 11: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

11

January 09, 2014

Dec 3­8:36 AM

sec y ­ cos y

Lets try to go backwards!!!!

Combining Fractions with Trig Functions

Page 12: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

12

January 09, 2014

Dec 3­8:44 AM

   1 + csc x    cos x + cot x

Combining Fractions with Trig Functions

Page 13: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

13

January 09, 2014

Dec 3­7:30 AM

sec t ­ cos t           sec t

Combining Fractions with Trig Functions

Page 14: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

14

January 09, 2014

Mar 20­8:12 AM

Like:  x+2x2 + x3  = x ( 12+2x + x2 )  =  x(1 + x)(1 + x)= x(1 + x)2

Let x=tan2x tanx + 2tan3x + tan5x = 

        =

Squaring Trig Functions

Page 15: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

15

January 09, 2014

Jan 9­11:56 AM

Page 16: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

16

January 09, 2014

Jan 9­12:01 PM

Page 17: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

17

January 09, 2014

Jan 9­12:04 PM

Page 18: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

18

January 09, 2014

Mar 20­7:41 AM

Like:  x ( 1‐x ) ==> x – x2

Cosx (secx ‐ cosx) 

Distributing Trig Functions

On Your Own:

tan x ( tan x + cot x) 

Page 19: simplifying trig day2 - Miss Sahady PSHS Class Websitemisssahadypshsclasswebsite.weebly.com/uploads/5/1/3/0/...simplifying trig expressions day2 Level 1 Ch.7 Reciprocal, Quotient,Pythagorean

Level 1 Simplifying Identities Day 1.notebook

19

January 09, 2014

Nov 18­6:33 PM

Evaluation:1.

Homework:  Worksheet Day 2 Day 3 Homework Correction: 

Worksheet Day 2 

Correction to # 5 should be:    cosx cotx + sinx

Simplify:  cosx cotx + cscx

2. Simplify, don't forget to get everything in the numerator: sinx csc2x ‐sinx


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