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Glencoe/McGrawHillNAME DATE PERIOD 74PracticeDoubleAngle and Half Angle Identities Use a half angle identity to find the exact value of each function. 3. cos 58! !!!2 2 !2. Tan ! 81. sin 105!! 2 !!3
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Double-angle and half-angle identities are trigonometric identities that relate the values of trigonometric functions of a given angle to the values of trigonometric functions of angles that are either twice as large (double angle identities) or half as large (half angle identities).
Students and professionals studying or working in fields related to mathematics, engineering, physics, and other sciences may be required to use double-angle and half-angle identities in their work.
Double-angle and half-angle identities can be filled out by using trigonometric formulas and manipulation techniques to simplify expressions involving trigonometric functions.
The purpose of double-angle and half-angle identities is to simplify trigonometric expressions and solve trigonometric equations more easily.
The values of trigonometric functions for a given angle, and the relationships between trigonometric functions of angles that are either double or half the size of the given angle.
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