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Academy Algebra II/Trig Pre-Calculus (5.1, 5.2) 8.3: Trigonometric Identities HW: today: none, Tomorrow: p.625-626 (20, 24, 32, 38, 50, 54, 78, 86) Quiz.

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Presentation on theme: "Academy Algebra II/Trig Pre-Calculus (5.1, 5.2) 8.3: Trigonometric Identities HW: today: none, Tomorrow: p.625-626 (20, 24, 32, 38, 50, 54, 78, 86) Quiz."— Presentation transcript:

1 Academy Algebra II/Trig Pre-Calculus (5.1, 5.2) 8.3: Trigonometric Identities HW: today: none, Tomorrow: p.625-626 (20, 24, 32, 38, 50, 54, 78, 86) Quiz 8.3 (PC 5.1-5.2): Monday, May 19 th (Bio-Testing: 20 th and 21 st )

2 Trig Identities Reciprocal Identities Quotient Identities

3 Trig Identities Pythagorean Identities Even/Odd Identities

4 Trig Identities Cofunction Identities (section 7.6)

5 Simplify the Trig Expression

6 P.381 (#22) Check using your calculator: Y 1 = Question Y 2 = Answer Check: graphs/tables are the same

7 Verify. P.381 (#30)

8 Verify the Identity Algebraically. P.381 (#46)

9 Verify the Identity Algebraically. P.381 (#56)

10 Factor the expression and simplify. P.381 (#64)

11 5.2: Verifying Trig Identities 1.) Work with one side of the equation. 2.) Look for opportunities to factor an expression, add fractions, square a binomial, or create a monomial denominator. 3.) Look for opportunities to use the fundamental identities. 4.) If the preceding guidelines do not help, try converting to all sines and cosines. 5.) Try something! Even making an attempt that leads to a dead end gives insight.

12 Verify. P.381 (#66)

13 Multiply and simplify. P.381 (#72)

14 Verify. P.381 (#76)

15 Verify the Identity.

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21 Homework: Study for Quiz 8.3 tomorrow – Practice: p.625-626 (25, 33, 35, 37, 39, 41, 45, 55, 61)


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