5.2(b) Notes: More Verifying Trig Identities

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Presentation transcript:

5.2(b) Notes: More Verifying Trig Identities Date: 5.2(b) Notes: More Verifying Trig Identities   Lesson Objective: Verify trig identities. CCSS: F-TF Extend the domain of tri­go­no­me­tric functions using the unit circle. You will need: your trig identities cheat sheet

Lesson 1: Choosing the Best Technique to Verify an Identity   Verify the identity: 1 + cos θ = csc θ + cot θ sin θ Method 1: Separating into 2 Terms Method 2: Changing to Sines and Cosines

Lesson 2: Combining Fractional Expressions to Verify an Identity (Common Denominators)   Verify the identity: sin x + 1 + cos x = 2 csc x 1 + cos x sin x

Lesson 3: Common Denominator vs. Cross Multiplying   Verify the identity by common denominator: cos x = 1 – sin x 1 + sin x cos x Verify the identity by cross multiplying:

5.2(b): Do I Get It? Yes or No Verify the identity. 1 + 1 = 2 sec² α 1 – sin α 1 + sin α sec y + tan y = cos y 1 – sin y