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Trigonometric Identities

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Presentation on theme: "Trigonometric Identities"— Presentation transcript:

1 Trigonometric Identities
Honors Precalculus November 28-29, 2016 Mrs. Agnew

2 Essential Question Essential Vocabulary
How can you simplify trigonometric expressions using the fundamental identities? Essential Vocabulary Pythagorean Identities Reciprocal Identities Quotient Identities Verifying an Identity

3 Reciprocal Identities
Complete these identities…

4 Quotient Identities Complete these identities (in terms of sine and cosine)…

5 Pythagorean Identities
The three Pythagorean identities… Let’s verify these identities. Verifying an identity means showing both sides are equal.

6 Simplifying & Verifying
We can simplify trig expressions using the trigonometric identities, common denominators, factoring techniques, “rationalizing,” etc. Verify means show both sides of the equation are equal.

7 Hints and Practice Hints for verifying… Sample problems…
Start with more complicated side Common denominators Conjugates When in doubt, follow the sines (and cosines). Sample problems…

8 Homework: 11/28/16 Handout Pages 540-541 #9, 13, 14, 16, 17,
26, 28, 53

9 Homework: 5/2/16 Page 474 #37, 45, 49, 57, 62 Worksheet Provided


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