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5.5 Multiple-Angle Formulas

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.

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5.5 Multiple-Angle Formulas

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  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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