6.4: Sum and Difference Formulas

Objectives:

• Use Sum and Difference Formulas to evaluate trig functions, verify identities, and solve trig equations.

Example 1a

Example 1b

Student example 1

Example 2

Student example 2

Example 3

Student example 3

Problem set 6.4

# 4, 6, 12, 17, 24, 26, 37, 38, 70

6.3b: Solving Trig Equations

Objectives:

• Solve trig equations involving multiple angles.
• Solve trig equations using inverse trig functions.

Example 1

Student example 1

Example 2

Student example 2

Problem set 6.3b:

# 13, 17,  35, 36, 38, 60-62

6.3a: Solving Trig Equations

Objectives:

• Solve trig equations using algebraic techniques.
• Solve trig equations of the quadratic type.

Example 1
*MISTAKE: one of the initial solutions is incorrect. 3pi/4 is not a solution. It should be changed to 7pi/4. 
(Thanks Rachael B.)

Example 2

Example 3

Example 4

Example 5

Student example 1

Student example 2

Problem set 6.3a:

#2, 5, 7, 12, 15, 17, 21, 24, 26, 29

6.2 solutions

These are the worked out solutions to the 6.2 problem sets. There are definitely other ways to verify these identities, but the methods used here are generally the shortest paths.

Note* the title says "5.2" however it is 6.2 for us.

-Tolar

  6.2 solutions by  

6.1: The Fundamental Trig Identities

Objectives:

• Recognize and write fundamental trig identities.
• Use trig identities to evaluate trig functions and simplify trig expressions.

Example 1

Student example 1

Example 2 & Student example 2

Example 3

Example 4

Student Example 3

Problem set 6.1

# 2, 6, 8, 28-38 even, 45, 46, 48, 52

5.8: Applications and Models

Objectives:

• Solve "real world" problems using trig.

• Solve problems involving bearings using trig.

Example 1


Student example 1


Example 2


Example 3


Student example 2


Problem set 5.8:##3, 4, 15, 20, 21, 22, 31

5.7: Inverse Trig Functions

Objectives:

• Define inverse trig functions.
• Evaluate inverse trig functions.
• Evaluate compositions of inverse trig functions.

Example 1 

Student example 1

Example 2

Example 3

Problem set 5.7:

# 3-7, 19-23, 44-47, 49-51