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Sum and Difference Identities

Sum and Difference Identities. Unit 5. Finding Exact Value . While doing this it is important to remember your 30, 45, and 60 degree angles. Also know each of there values in the different quadrants.

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Sum and Difference Identities

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  1. Sum and Difference Identities Unit 5

  2. Finding Exact Value • While doing this it is important to remember your 30, 45, and 60 degree angles. Also know each of there values in the different quadrants. • The reference angle is always the angle between the terminal side and the x-axis. It will always be 30, 45, or 60.

  3. Sum and Difference for cosine • Cos (u + v) = (cos u)(cos v) – (sin u)(sin v) • Cos (u – v) = (cos u)(cos v) + (sin u)(sin v) • Example: Find exact value of cos 15

  4. Sum and difference of Sine • Sin (u + v) = (sinu)(cos v) + (cosu)(sin v) • Sin (u – v) = (sinu)(cos v) – (cos u)(sin v) • Example: Find exact value of sin15

  5. Sum and difference tangent • tan (u + v) = (tan u + tan v)/(1 – (tan u)(tan v)) • tan (u – v) = (tan u – tan v)/(1 + (tan u)(tan v)) • Find exact value of tan15

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