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**10.3 Double Angle and Half Angle Formulas**

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Double Angle for Sine

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**Double Angle for Cosine**

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**Double Angle for Tangent**

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If Find:

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Find a formula for sin4x

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**Half Angle Formula for Sine**

Start with a double angle formula Notice that the contents of the parentheses on the left is twice that of the parentheses on the right. Rewrite the equation, keeping this fact true.

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**Half Angle Formula for Cosine**

Start with another double angle formula Notice that the contents of the parentheses on the left is twice that of the parentheses on the right. Rewrite the equation, keeping this fact true.

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**Find the exact value of cos (5/8)**

Why is this negative?

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**Find the exact value of sin (/12)**

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**Half Angle Formula for Tangent**

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**Half Angle Formula for Tangent**

If you rationalize the denominator: Multiply by the conjugate

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**Half Angle Formula for Tangent**

If you rationalize the numerator: Multiply by the conjugate

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**Simplify the expression:**

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**Find the values of sin(2x), cos(2x) & tan(2x) using the given information**

Angle x is obtuse and

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**Find the values of sin(2x), cos(2x) & tan(2x) using the given information**

Angle x is acute and

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Then/Now You used sum and difference identities. (Lesson 5-4) Use double-angle, power-reducing, and half-angle identities to evaluate trigonometric expressions.

Then/Now You used sum and difference identities. (Lesson 5-4) Use double-angle, power-reducing, and half-angle identities to evaluate trigonometric expressions.

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