Section 5.1A Using Fundamental Identities

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Presentation transcript:

Section 5.1A Using Fundamental Identities Quotient Identities: Pythagorean Identities: sin2 u + cos2 u = 1 1 + tan2 u = sec2 u 1 + cot2 u = csc2 u

Cofunction Identities:

Even/Odd Identities: sin (-u) = - sin u csc (-u) = - csc u cos (-u) = cos u sec (-u) = sec u tan (-u) = - tan u cot (-u) = - cot u Ex 2: Use the identities to simplify: sin x cos2 x – sin x

Ex 4: Verify the following trigonometric identity: Ex 5: Factor the following expressions: a. sec2 θ – 1 b. 4 tan2 θ + tan θ - 3

Suggested Assignment: Section 5.1A pg 345 – 346 #15 – 26, 39 – 44