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Math141Outline4

Math141Outline4 - MATH 141 PRECALCULUS MIDTERM 4 ADVANCED...

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MATH 141: PRECALCULUS MIDTERM 4: ADVANCED TRIG (CHAPTERS 5 AND 6) DISCLAIMER : This may or may not be a comprehensive list, but it’s a very good start! Know all aspects of these topics; I may go beyond listed subtopics. CHAPTER 5: ANALYTIC TRIG Identities (5.1, 5.2) Reciprocal, Quotient, Pythagorean, Cofunction, and Even/Odd (Negative Angle) Simplifying Trig Expressions and Verifying Identities Tricks include: Going to sin and cos Using Basic Identities Factoring Adding and Subtracting Fractions; LCDs Using Trig Conjugates Splitting: Peeling and Addition / Subtraction Modeling Using an Easy Algebra Problem Verifying Identities (5.2): We usually start with the “longer” side. Aim for your target! Trig Substitutions Solving Trig Equations (5.3) Tricks include: Solving Linear Forms Using Reciprocals Recognizing when there is No Solution Square Root Method Factoring (get “Product = 0” and set each factor equal to 0) Using Identities Letting ± = bx in Multiple-Angle Expressions Remember to go back to x !!

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