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

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Presentation transcript:

Section 5.4

Double-Angle Identities Proving the first of these:

Power-Reducing Identities

Guided Practice Prove the given identity.

Prove the given identity.

Guided Practice Prove the given identity.

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

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

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

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

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

Half-Angle Identities

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

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

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

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

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

Guided Practice Prove the identity:

Guided Practice Prove the identity:

Guided Practice Prove the identity:

Guided Practice Prove the identity: