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Unformatted text preview: NWACC Dept of Mathematics Dept Final Exam Review for Trig  Part 1 Trigonometry, 9th Edition ; Lial, Hornsby, Schneider Fall 2008 Departmental Final Exam Review for Trigonometry Part 1: Chapters 1, 2, and 3 Departmental Objectives : 1. Analyzing and classifying angles, converting between units, using the Arc Length Formula, and using the relationship between linear and angular speed. [Sections: 1.1, 3.1, 3.2, 3.4] 2. Defining, applying, and finding the exact values of the six trigonometric functions. [Sections: 1.3, 1.4, 2.1, 2.2, 2.3, 2.4, 2.5, 3.3] Chapter 1: Trigonometric Functions 1. Find (a) the complement and (b) the supplement of 61°. Show all work and / or support your answer. 2. Perform the calculation 84° 15' 39" – 23° 31' 51". Show all work and / or support your answer or you may use your calculator. 3. Convert 37° 11' 29" to decimal degrees. Round to the nearest thousandth of a degree. Show all work and / or support your answer or you may use your calculator. 4. Convert the angle 165.8525° to degrees, minutes, and seconds. Show all work and / or support your answer or you may use your calculator. 5. Find the smallest positive coterminal angle for –1234°. Show all work and / or support your answer. 6. Sketch the angle θ = 553° in standard position. What quadrant does it terminate in? Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with θ . Show all work and / or support your answer. 7. A tire is rotating 320 times per minute. Through how many degrees does it rotate in 8 seconds? Show all work and / or support your answer. 8. Find the exact values of the six trigonometric functions for the angle in standard position having the point ( ) 1 , 3 − on its terminal side. Rationalize denominators if applicable. Show all of your work. 9. Suppose that the point (x, y) is in quadrant IV. Decide whether the ratio r y is positive or negative. Show all work and / or support your answer. 10. Manually evaluate the expression . Show all work and / or support your o o o 90 sin 2 sec180 3 270 cot 2 + − answer. 11. Use the appropriate reciprocal identity to find tan θ , if 3 5 θ cot − = . Rationalize denominators when applicable. Show all work and / or support your answer. 12. Identify the quadrant or quadrants for the angle satisfying the condition cos θ < 0, csc θ > 0. Show all of your work. 13. Give the signs of the sine, cosine, and tangent functions for 472°. Show all work and / or support your answer. 14. Is the statement sin θ = 1.256 possible? Explain why it is or is not. 15. Use identities to find sin θ , if sec θ = 2, with θ in quadrant IV. Show all work and / or support your answer....
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 Fall '11
 PamelaSatterfield
 Trigonometry, Work, NWACC Dept of Mathematics Trigonometry

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