Double-Angle and Half Angle Identities

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# Double-Angle and Half Angle Identities - PowerPoint PPT Presentation

Double-Angle and Half Angle Identities. Double-Angle Identity. If represents the measure of an angle, then the following identities hold for all values of . If and terminates in the first quadrant, find the exact value of each function. -1.

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### Double-Angle and Half Angle Identities

Double-Angle Identity
• If represents the measure of an angle, then the following identities hold for all values of .

If and terminates in the first quadrant, find the exact value of each function.

• we must first find the
Half-Angle Identities
• If represents the measure of an angle, then the following identities hold for all values of .

Since 15⁰ is a first quadrant angle and sine is positive in the first quadrant, choose the positive value.

Since 135 is a second quadrant angle and cosine is negative in the second quadrant, choose the negative value. Thus,