Trigonometric Identities

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Presentation transcript:

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

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

Reciprocal Identities Complete these identities…

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

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

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.

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…

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

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