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5.5-Multiple Angle Formulas

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Presentation on theme: "5.5-Multiple Angle Formulas"— Presentation transcript:

1 5.5-Multiple Angle Formulas

2 Double Angle Formulas:

3 Ex. 1 Solve the equation:

4 Ex. 2 and Find: 13 5 a) -12 b) We could use any of the three formulas for cosine!

5 c) 13 5 -12 12

6 Ex. 3 Rewrite as a sum of two sinx expressions:

7 Ex. 4 Find the value of:

8 Power-Reducing Formulas

9 Ex. 5 Re-write as a sum of first powers of the cosines
of multiple angles:

10 Half-Angle Formulas

11 Ex. 6 Find the value of: 225 is a unit circle value! Note that: Why negative??

12

13 Ex. 7 Find the exact value of:
210 is a unit circle value! Note that: Why positive??


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