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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
Students will use multiple-angle formulas to rewrite and evaluate trigonometric functions. Students will use power-reducing formulas to rewrite and evaluate trigonometric functions. Students will use half-angle formulas to rewrite and evaluate trigonometric functions. Students will use product-to-sum and sum-to-product formulas to rewrite and evaluate trigonometric functions.

2 Section 5.5, Double-Angle Formulas, pg. 375

3 Why is ? Remember:

4 Example 1 Solve.

5 Try #10 on p. 382

6 Why is ? Remember:

7 Example 3 Use the following to find and :

8 Try #18 on p. 382

9 Section 5.5, Half-Angle Formulas, pg. 378

10 Use the figure (p.382 #33-40) to find the exact value of the trigonometric function.

11 Try #34 on p. 382

12 Example 6 Find the exact value of

13 Try #42 on p. 383

14 Find the following values given in quad. II

15 Try #50 on p. 383

16 Use the half-angle formulas to simplify the expression.

17 Try #56 on p. 383

18 Example 7 Find all solutions if in the interval

19 Section 5.5, Product-to-Sum Formulas, pg. 379

20 Example 8 Rewrite the product as a sum or difference

21 Section 5.5, Sum-to-Product Formulas, pg. 380

22 Example 9 Find the exact value of

23 Example 10 Find all solutions of in the interval


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