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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. -1.

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## Double-Angle and Half Angle Identities

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**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**If and terminates in the first quadrant, find the exact**value of each function. • we must first find the**If and terminates in the first quadrant, find the exact**value of each function.**Half-Angle Identities**• If represents the measure of an angle, then the following identities hold for all values of .**Use a half-angle identity to find the exact value of each**function. Since 15⁰ is a first quadrant angle and sine is positive in the first quadrant, choose the positive value.**Use a half-angle identity to find the exact value of each**function. Since 135 is a second quadrant angle and cosine is negative in the second quadrant, choose the negative value. Thus,

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