9.8 Using the Sum and Difference Formulas

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Find the exact values of trig functions no calculators allowed!!!

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Presentation transcript:

9.8 Using the Sum and Difference Formulas Rita Korsunsky

Formula for cos(α±β) Distance formula: Let A and B be points on the unit circle. Then these are congruent triangles: Distance formula:

Formula for cos(α±β)

Formula for sin(α±β) Since and

Sin = Sign

Deriving the Tan Sum Formula Given:

The Tan Difference Formula For the formula of tan(α±β), replace β with -β .

Example #1 Find the exact value of sin15°

Example #2 Find the exact value of:

Example #3 II I

Example #4 Show that

Example #5

Example #6

Example #7

Example #8

Example #8 Substitute α. Split the fraction.