Warm Up Trigonometric Identities Section 5 1 Objectives

Warm - Up •

Trigonometric Identities Section 5. 1

Objectives Students will be able to… •

Unit Time Line • Friday (5/15)– Basic Trig Identities (Sect. 5. 1) • Monday – Thursday (5/18 – 12/21) – Verifying Trig Identities (Sect. 5. 2) • Friday (5/22) – Review/Practice • Tuesday (5/26) – Quest (Sects. 5. 1 – 5. 2) • Wednesday, Thursday (5/27 – 5/28) – Solving Trig Identities (Sect. 5. 3) • Friday (5/29) – Practice/Core Assessment • Monday (6/1) – Review • Tuesday (6/2) – Quest (Sect. 5. 3)

Trigonometric Identity Definition: a statement of equality between 2 expressions that is true for all values Trig Notation: YOU ARE EXPECTED TO KNOW ALL OF THE FOLLOWING FUNDAMENTAL IDENTITIES FROM MEMORY!!

Reciprocal Identities

Quotient Identities

Pythagorean Identities Recall the unit circle… Pythagorean Theorem… Substitution … (x, y)… (____, ____)

Case 1: Using given values of trig functions to find other trig functions •

Case 1: Using given values of trig functions to find other trig functions •

Case 2: Simplifying a Trigonometric Expression •

Case 2: Simplifying a Trigonometric Expression •

Case 3: Review of Factoring Techniques •

Case 4: Adding Trig Expressions. Perform the addition and simplify. •

Case 5: Rewrite the given expression that is not in fractional form. •

Case 5: Rewrite the given expression that is not in fractional form. •