5.5 Multiple-Angle Formulas

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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.

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Section 5.5, Double-Angle Formulas, pg. 375
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Why is ?

• Remember

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Example 1
Solve.
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Try 10 on p. 382
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Why is ?
Remember
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Example 3

• Use the following to find and

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Try 18 on p. 382
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Section 5.5, Half-Angle Formulas, pg. 378
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Use the figure (p.382 33-40) to find the exact
value of the trigonometric function.
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Try 34 on p. 382
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Example 6

• Find the exact value of

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Try 42 on p. 383
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Find the following values given
in quad. II
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Try 50 on p. 383
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Use the half-angle formulas to simplify the
expression.
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Try 56 on p. 383
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Example 7

• Find all solutions if in
  the interval

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Section 5.5, Product-to-Sum Formulas, pg. 379
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Example 8 Rewrite the product as a sum or
difference
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Section 5.5, Sum-to-Product Formulas, pg. 380
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Example 9

• Find the exact value of

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Example 10

• Find all solutions of in the interval