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121212 4.4 Trig Functions of any angle.notebook 1 December 12, 2012 Section 4.4 (Part II) Trigonometric Functions of Any Angle Homework (Due Thursday, December 13, 2012): page 499 #921 odds, 3585 odds ... 24 problems... all pretty straightforward... Trigonometric Functions of Any Angle

Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

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Page 1: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

1

December 12, 2012

Section 4.4 (Part II)Trigonometric Functions 

of Any Angle

Homework (Due Thursday, December 13, 2012):

page 499 #9­21 odds, 35­85 odds

... 24 problems... all pretty straightforward...

Trigonometric Functions of 

Any Angle

Page 2: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

2

December 12, 2012

Page 3: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

3

December 12, 2012

Example

Page 4: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

4

December 12, 2012

The Signs of the Trigonometric Functions

Page 5: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

5

December 12, 2012

Example

Example

Page 6: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

6

December 12, 2012

Reference Angles

Page 7: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

7

December 12, 2012

Example

Example

Page 8: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

8

December 12, 2012

Evaluating Trigonometric Functions Using Reference 

Angles

Page 9: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

9

December 12, 2012

1

1

1

2

45

45 30

60

Here are the answers to the previous 

Page 10: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

10

December 12, 2012

Example

Evaluating trig functions at reference angles only gives you the number value...

To find the sign of the answer... you have to think...

Example

Page 11: Section 4.4 (Part II) Trigonometric Functions of Any Angleteacherwee.weebly.com/uploads/8/3/8/0/8380923/121212_4.4...121212 4.4 Trig Functions of any angle.notebook 1 December 12,

121212 4.4 Trig Functions of any angle.notebook

11

December 12, 2012

(a) (b)(c)(d)

(a) 

(b)

(c)

(d)