chapter 5: analytic trigonometry. learning goal i will be able to use standard algebraic techniques...

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ANALYTIC TRIGONOMETRY

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Page 1: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Chapter 5: ANALYTIC

TRIGONOMETRY

Page 2: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Learning GoalI will be able to use standard

algebraic techniques and inverse trigonometric functions

to solve trigonometric equations.

Page 3: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

3

WARM-UP

WORKBOOKPAGE: 99-100

3

Page 4: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Equation vs. Identity

Identity: an equation that is true for all values of the variable for which the expressions are defined

Equation: a mathematical statement that is true for only certain values of the variable

Page 5: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Example 1:

Look on unit circle.

Page 6: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Example 1:

Look on unit circle. Repeat these values for every period.

Page 7: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Example 2:

Look on unit circle. Repeat these values for every period.

Page 8: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Example 3:

Look on unit circle.Repeat these values for every period.

Page 9: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Example 4:

Look on unit circle.

Page 10: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Example 5:

Look on unit circle.

Page 11: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Example 6:

Look on unit circle.

Page 12: Chapter 5: ANALYTIC TRIGONOMETRY. Learning Goal I will be able to use standard algebraic techniques and inverse trigonometric functions to solve trigonometric

Learning GoalI will be able to use standard

algebraic techniques and inverse trigonometric functions

to solve trigonometric equations.