Math 12 Final Review Quiz 3

Transcription

1 Math 12 Final Review Quiz 3 Multiple Choice Identify the choice that best completes the statement answers the question. 1. What is the measure of the reference angle f an angle of in standard position? 37º 323º 37º D. 143º 2. What is the length of the arc that subtends a central angle of in the unit circle? units units units D. 55 units 3. What is in radians? 29 radians radians radians D radians 4. Which function below has this graph? y y = f(x) x 1 2 D. None of the above 5. Which characteristic differs among these three sinusoidal graphs?

2 6 y x phase shift amplitude centre line D. period 6. Identify the transfmations that would be applied to the graph of to get the graph of. A vertical stretch by a fact of, and then a translation of 2 units right A hizontal stretch by a fact of 2, and then a translation of units left A vertical stretch by a fact of 2, and then a translation of units left D. A vertical stretch by a fact of 2, and then a translation of units right 7. Identify the transfmations that would be applied to the graph of to get the graph of. A hizontal compression by a fact of, and then a translation of units up A hizontal stretch by a fact of, and then a translation of units right A hizontal stretch by a fact of, and then a translation of units up D. A vertical compression by a fact of, and then a translation of units up 8. Assume x is an angle in standard position with 2 5. In which quadrant could the terminal arm of angle x lie? Quadrant 3 4 Quadrant 2 4 Quadrant 1 3 D. Quadrant 2 3

3 1 9. The first two positive roots of the equation are approximately 0.02 and Which expression represents the general solution, where? D. 10. Which of these values of x is NOT a solution of the equation? D. 11. What are the exact roots of the equation f? D. 12. Write the expression D. 13. What are the non-permissible values of f. Z Z Z D. Z 14. Write the expression D. 15. Write the expression D. 16. Write the expression

4 D. 17. Write the expression 1 D.

5 Math 12 Final Review Quiz 3 Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 DIF: Easy REF: 6.1 Trigonometric Ratios f Any Angle in Standard Position LOC: 12.T1 2. ANS: C PTS: 1 DIF: Easy REF: 6.2 Angles in Standard Position and Arc Length LOC: 12.T1 Conceptual Understanding 3. ANS: C PTS: 1 DIF: Easy REF: 6.3 Radian Measure LOC: 12.T1 4. ANS: B PTS: 1 DIF: Easy REF: 6.4 Graphing Trigonometric Functions LOC: 12.T4 KEY: Conceptual Understanding 5. ANS: C PTS: 1 DIF: Easy REF: 6.5 Trigonometric Functions LOC: 12.T4 KEY: Conceptual Understanding 6. ANS: C PTS: 1 DIF: Easy REF: 6.6 Combining Transfmations of Sinusoidal Functions LOC: 12.T4 7. ANS: A PTS: 1 DIF: Easy REF: 6.7 Applications of Sinusoidal Functions LOC: 12.T4 8. ANS: C PTS: 1 DIF: Easy REF: 7.1 Solving Trigonometric Equations Graphically LOC: 12.T3 KEY: Conceptual Understanding 9. ANS: A PTS: 1 DIF: Easy REF: 7.1 Solving Trigonometric Equations Graphically LOC: 12.T5 10. ANS: B PTS: 1 DIF: Easy REF: 7.2 Solving Trigonometric Equations Algebraically LOC: 12.T5 11. ANS: D PTS: 1 DIF: Moderate REF: 7.2 Solving Trigonometric Equations Algebraically LOC: 12.T5 12. ANS: A PTS: 1 DIF: Easy REF: 7.3 Reciprocal and Quotient Identities LOC: 12.T6 13. ANS: A PTS: 1 DIF: Moderate REF: 7.3 Reciprocal and Quotient Identities LOC: 12.T6 14. ANS: C PTS: 1 DIF: Easy REF: 7.4 The Pythagean Identities LOC: 12.T6 15. ANS: B PTS: 1 DIF: Easy REF: 7.5 Sum and Difference Identities LOC: 12.T6 16. ANS: D PTS: 1 DIF: Easy REF: 7.6 Double-Angle Identities

6 LOC: 12.T6 17. ANS: B PTS: 1 DIF: Easy REF: 7.6 Double-Angle Identities LOC: 12.T6