Double-Angle, Half-Angle Formulas

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Presentation transcript:

Double-Angle, Half-Angle Formulas

Double-Angle Formulas Formula for sine: Formula for cosine: Formula for tangent:

Ex 1. If and x is in quadrant II, find cos 2x, sin 2x, and tan 2x.

Ex 2. If and x is in quadrant I, then find sin 2x, cos 2x, and tan 2x.

Class Work 3. If and x is in quadrant II, find sin 2x, cos 2x, and tan 2x.

Half-Angle Formulas

Ex 3. Find the exact value of sin 22.5.

Ex 4. Find

Ex 5. Find if and u is in quad II.

Find if and u is in quad IV.