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5.1, 5.2: Using and Verifying Trig Identities

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Presentation on theme: "5.1, 5.2: Using and Verifying Trig Identities"— Presentation transcript:

1 5.1, 5.2: Using and Verifying Trig Identities
Pre-Calculus Honors 5.1, 5.2: Using and Verifying Trig Identities

2 Trig Identities Reciprocal Identities Quotient Identities

3 Trig Identities Pythagorean Identities Even/Odd Identities

4 Trig Identities Cofunction Identities

5 Simplify the Trig Expression

6 Simplify the Trig Expression
Check using your calculator: Y1= Question Y2= Answer Check: graphs/tables are the same

7 Factor the Trig Expression

8 Factor the Trig Expression

9 Simplify the Trig Expression

10 Rewrite the expression so it is not in fraction form.

11 5.2: Verifying Trig Identities
1.) Work with one side of the equation. 2.) Algebra: Look for opportunities to factor an expression, add fractions, square a binomial, or create a monomial denominator. 3.) Trig: 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 the Identity. 1.)

13 Verify the Identity.

14 Verify the Identity. 3.)

15 Verify the Identity. 4.)

16 Verify the Identity. 5.)

17 Verify the Identity. 6.)

18 Verify.

19 Verify the Identity Algebraically.
8.)

20 Verify.

21 Verify the Identity Algebraically.

22 Verify.


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