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