trig_m5_handouts

trig_m5_handouts - MAC 1114 Module 5 Trigonometric...

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1 Rev.S08 MAC 1114 Module 5 Trigonometric Identities I 2 Rev.S08 Learning Objectives Upon completing this module, you should be able to: 1. Recognize the fundamental identities: reciprocal identities, quotient identities, Pythagorean identities and negative-angle identities. 2. Express the fundamental identities in alternate forms. 3. Use the fundamental identities to find the values of other trigonometric functions from the value of a given trigonometric function. 4. Express any trigonometric functions of a number or angle in terms of any other functions. 5. Simplify trigonometric expressions using the fundamental identities. 6. Use fundamental identities to verify that a trigonometric equation is an identity. 7. Apply the sum and difference identities for cosine. ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 3 Rev.S08 Trigonometric Identities ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. - Fundamental Identities - Fundamental Identities - Verifying Trigonometric Identities - Verifying Trigonometric Identities - Sum and Difference Identities for Cosine - Sum and Difference Identities for Cosine There are three major topics in this module:

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4 Rev.S08 Fundamental Identities ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Reciprocal Identities Quotient Identities Tip: Memorize these Identities . 5 Rev.S08 Fundamental Identities (Cont.) ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Pythagorean Identities Negative-Angle Identities Tip: Memorize these Identities . 6 Rev.S08 Example: If and θ is in quadrant II, find each function value. ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. a) sec ( θ ) To find the value of this function, look for an identity that relates tangent and secant. Tip: Use Pythagorean Identities
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This note was uploaded on 10/18/2011 for the course MAC 1114 taught by Professor Russel during the Summer '08 term at Valencia.

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trig_m5_handouts - MAC 1114 Module 5 Trigonometric...

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