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Section 5.4. Double-Angle Identities Proving the first of these:

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Presentation on theme: "Section 5.4. Double-Angle Identities Proving the first of these:"— Presentation transcript:

1 Section 5.4

2 Double-Angle Identities Proving the first of these:

3 Power-Reducing Identities

4 Guided Practice Prove the given identity.

5 Prove the given identity.

6 Guided Practice Prove the given identity.

7 Guided Practice Rewrite in terms of trigonometric functions with no power greater than 1.

8 Guided Practice Find all solutions to the given equation in the interval. or

9 Guided Practice Find all solutions to the given equation in the interval. or

10 Guided Practice Find all solutions to the given equation in the interval. Quadratic Formula: Only keep this answer:

11 Guided Practice Find all solutions to the given equation in the interval. or

12

13 Half-Angle Identities

14 Guided Practice Use half-angle identities to find an exact value of the given expression.

15 Use half-angle identities to find an exact value of the given expression. Since, we take the positive value…

16 Guided Practice Use half-angle identities to find an exact value of the given expression. Since, we take the positive value…

17 Guided Practice Write the given expression as one involving only and. (Note: There are multiple correct answers!!!)

18 Guided Practice Write the given expression as one involving only and. (Note: There are multiple correct answers!!!)

19 Guided Practice Prove the identity:

20 Guided Practice Prove the identity:

21 Guided Practice Prove the identity:

22 Guided Practice Prove the identity:


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