DeptFinalExamReviewforTrig-Part2F08

- NWACC Dept of Mathematics Trigonometry 9th Edition Lial Hornsby Schneider Dept Final Exam Review for Trig Part 2 Fall 2008 Departmental Final

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NWACC Dept of Mathematics Dept Final Exam Review for Trig - Part 2 Trigonometry, 9th Edition ; Lial, Hornsby, Schneider Fall 2008 Departmental Final Exam Review for Trigonometry Part 2: Chapters 4, 5, and 6 Departmental Objectives : 3. Graphing the six trigonometric functions by hand. [Sections: 4.1, 4.2, 4.3, 4.4] 4. Analyzing and writing equations of simple harmonic motion. [Section: 4.5] 5. Verifying and applying trigonometric identities and solving trigonometric equations. [Sections: 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 6.2, 6.3] 6. Defining, using, and applying inverse trigonometric functions. [Sections: 6.1, 6.2, 6.3] Chapter 4: Graphs of Circular Functions 1. Given () 1 π - 2x sin 3 y + = a. Find: amp: _______________ x-axis reflection: ______________ period: ______________ phase shift: _______________ vertical translation: _______________ b. Find: 5 key points: ____________ ____________ ____________ ____________ ____________ c. Manually graph two periods of the given function. 2. Given 2 3 π x cos 4 1 y + = a. Find: amp: _______________ x-axis reflection: ______________ period: ______________ phase shift: _______________ vertical translation: _______________ b. Find: 5 key points: ____________ ____________ ____________ ____________ ____________ c. Manually graph two periods of the given function. 3. Given 3 4 π x tan 2 y + = a. Find: x-axis reflection: ______________ period: ______________ phase shift: _______________ vertical translation: _______________ b. Find: left asymptote: x = ___________ right asymptote: x = __________ c. Find: left key point: ____________ middle key point: ____________ right key point: ____________ d. Manually graph two periods of the given function. 1
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NWACC Dept of Mathematics Dept Final Exam Review for Trig - Part 2 Trigonometry, 9th Edition ; Lial, Hornsby, Schneider Fall 2008 4. Given () π 2x cot 2 1 y + = a. Find: x-axis reflection: ______________ period: ______________ phase shift: _______________ vertical translation: _______________ b. Find: left asymptote: x = ___________ right asymptote: x = __________ c. Find: left key point: ____________ middle key point: ____________ right key point: ____________ d. Manually graph two periods of the given function. 5. Given 1 4 π - 2x csc 3 y = a. Find: amp of sine: _______________ x-axis reflection: ______________ period: ______________ phase shift: _______________ vertical translation: _______________ b. Find: 5 key points of sine ____________ ____________ ____________ ____________ ____________ c. Manually graph two periods of the given function. 6. Given 4 π + x sec 2 y + = a. Find: amp of cosine: _______________ x-axis reflection: ______________ period: ______________ phase shift: _______________ vertical translation: _______________ b. Find: 5 key points of cosine ____________ ____________ ____________ ____________ ____________ c. Manually graph two periods of the given function. 7. An object is attached to a coiled spring. It is pulled down a distance of 6 units from its equilibrium position and then released. The time for one complete oscillation is 4 sec.
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This note was uploaded on 01/12/2012 for the course MATH 1213 taught by Professor Pamelasatterfield during the Fall '11 term at NorthWest Arkansas Community College.

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- NWACC Dept of Mathematics Trigonometry 9th Edition Lial Hornsby Schneider Dept Final Exam Review for Trig Part 2 Fall 2008 Departmental Final

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