review concepts: factor: 1. x 9 add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · day 1.notebook...

31
Day 1.notebook October 22, 2018 Review concepts: Factor: 1. x 2 9 Add: 4. 2. (x+5) 2 25 3. sin 2 x1 5.

Upload: others

Post on 21-Jun-2020

3 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Review concepts:

Factor:  1. x2 ­9               Add:  4.           

2. (x+5)2 ­ 25

3. sin2x ­ 1                   5.

Page 2: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Simplify:

6. 7.

Page 3: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

What does any of this have to do with Trig?

Page 4: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 5: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Notation:

Page 6: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

why does sin2x + cos2x = 1

Pythagorean Identity #1

Page 7: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Pythagorean Identity #2

sin2x + cos2x = 1

Page 8: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Pythagorean Identity #3

sin2x + cos2x = 1

Page 9: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 10: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Practice: Prove:

cot x  sec x = sin x

Page 11: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 12: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 13: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Simplify:

Page 14: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Day 2:  Odd/Even

             Factoring

            Cofunctions 1. x2 − 10x + 24 

2. (x­3)2 ­ 4(x­3) ­ 123.  2n2 + 3n − 9

Warm up­

Page 15: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Homework 

Make sure you are updating your foldable!!

Page 16: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 17: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Factor:

Page 18: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 19: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 20: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 21: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 22: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Factor:

Page 23: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Odd and Even:

algebraic GraphicallyOdd even

­

f(­x)=­f(x) f(­x)=f(x)

Opposite values

Opposite sign

Opposite values

same sign

Page 24: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 25: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 26: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Prove:  Sin 30 = Cos (__)

Sin (90 ­     )  = Cos (60)

Tan(90­       ) = Cot (    )

Page 27: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Page 28: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Stop

Page 29: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Show: cos (        ) = sin x, when x = 

Page 30: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018

Quick Quiz!

Page 31: Review concepts: Factor: 1. x 9 Add: 4. 2. (x+5) 25 3. sin x 1 5. · 2018-10-23 · Day 1.notebook October 22, 2018 Day 2: Odd/Even Factoring Cofunctions 1. x2 − 10x + 24 2. (x3)2

Day 1.notebook October 22, 2018