The addition formulas

Video 1: Derivation of “the fourth” addition formula.

Video 2: Using “the fourth” addition formula: Examples

Reading Suggestions:

• Carefully note the so-called cofunction identities in the shaded box on page 580. If you think about the translations of graphs, these identities should make sense.
• Study the derivations of the remaining angle-addition formulas/identities startiWord count: 179
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• The addition formulas for the tangent function look different from the ones you’ve seen already but they have a similar effect: They take a trig function with a sum for an input and turn them into an expression only involving single inputs (no sum) to the tangent function. The examples in the text (ex 6 and 7) are similar to those covered in video 2.

Assignment 8.1

• Part A; p.584: # 1,2,11,13,21,23
• PartB; p.584: #49,55,57

8.2 The Double Angle and Half Angle formulas

Video 3: Double angle formulas.

Video 4: Half angle formulas.

Assignment 8.2

• p.595: # 3,5,7,13,17,25,29,34,35

8.3 The Product to Sum and the Sum to Product Formulas.

Coming soon: Explanation of example 5, p.602.

Assignment 8.3

• p.603: 1,7,23,25,35,37
• Honors; p.604: 42,43

 8.4 Trigonometric equations

Assignment 8.4

• optional practice: p.616; #1,3
• p. 616; 5,9,11,13,15,25,27,29

Assignment 8.5

• p. 630, 1-5 odd, 11-19 odd, 25-29 odd