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Warm Up

Sin (A – B) = Tan (2B) = Tan =. Warm Up. Simplifying Trig Expressions using Fundamental Identities. Reciprocal Identities. Quotient Identities. Examples: Simplify Completely. Examples: Simplify Completely. ( cos x )( csc x ) =. A. 1 B. tan 2 x C. -1 D. cot 2 x.

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Warm Up

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  1. Sin (A – B) = Tan (2B) = Tan = Warm Up

  2. Simplifying Trig Expressions usingFundamental Identities

  3. Reciprocal Identities

  4. Quotient Identities

  5. Examples:Simplify Completely

  6. Examples:Simplify Completely (cosx)(cscx) = A. 1 B. tan2x C. -1 D. cot2x

  7. Find the mistake… Original Step 1 Step 2 Step 3

  8. Pythagorean Identities sin2x +cos2x = _____

  9. Simplify completely (1 – sin2x)sec2x =

  10. More Pythagorean IdentitiesLet’s Derive them from what we already know…. sin2x +cos2x = 1

  11. Examples:Simplify Completely Csc2x – Cot2x =

  12. Examples:Simplify Completely sin2xtan2x B. cos2x C. 1 D. sec2x

  13. Examples:Multiply & Simplify Completely (tan x + 1)2 csc2x B. sec2x C. csc2x+2tanx D. sec2x + 2tanx

  14. Examples:Multiply & Simplify Completely (sin x – 1)(sin x + 1) (3tan x + 3sec x)(3tan x – 3sec x)

  15. Examples:Factor & Simplify Completely Tan2x – Tan2x sin2x

  16. Examples:Factor & Simplify Completely Cot4x – Csc4x = 1 B. -1 C. cot2x – csc2x D. –cot2x – csc2x E. cot2x + csc2x

  17. Examples:Factor & Simplify Completely Sec4x – 2sec2x + 1 =

  18. Examples:Add & Simplify Completely

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