6.5b: Product to Sum and Sum to Product Formulas

Objectives:

• Use product to sum and sum to product formulas to, evaluate trig functions, verify trig identities, and solve trig equations.

Example 1

Example 2
*MISTAKE
Thank you Harrison for pointing out that (195-105)/2=45 and not 90. This changes the final answer. Come up with the answer and we will discuss it in class.

Example 3

Problem set 6.5b:

# 3, 5, 64, 68, 78, 79, 80, 84, 86, 88, 90

6.5a: Multiple Angle Formulas

Objectives:

• Use the multiple angle and half angle formulas to evaluate, verify, and solve trig equations.

Example 1

Student example 1

Example 2

Student example 2

Example 3

Student example 3

Example 4

Example 5

Problem set 6.5a:

4, 6, 11, 12, 14, 24, 36, 41, 50

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