Pre-Calculus II Practice Exam 2

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(1) Turn off all cell phones, beepers & chiming watches & put them out of sight.

(2) Fill out the answer sheet on this page for the first 14 problems.

(3) Fill in your work to the show-work portion in the space provided.

(4) TURN IN ALL SCRATCH PAPER. Scratch paper will not be graded.



  

(1. 4 points). Find the polynomial of degree 3 that has zeros at and such that

    (a)

    (b)
    
    (c)

    (d)
        
        

(2. 4 points). Find all roots of the polynomial

    (a)

    (b)
    
    (c)

    (d)
        
        

(3. 4 points). For find the interval(s) where

    (a)

    (b)
    
    (c)

    (d)
        

(4. 4 points).  If use interval notation to give all values of where

    (a)
    
    (b)

    (c)

    (d)
    

(5. 4 points). Use the fundamental identities to write in terms of for any acute angle


    

        

(6. 4 points). Find the interval between and on which is decreasing and is decreasing.

    (a)

    (b) [ ]
    
    (c) [ ]

    (d) [ ]
        

(7. 4 points). Approximate to the nearest degree all angles in the interval [ ) that satisfy

    (a)

    (b)
    
    (c)

    (d)
        

(8. 4 points). Given and approximate the value of to the nearest decimal point given

    (a)

    (b)
    
    (c)

    (d)
        

(9. 4 points). A guy wire is attached to the top of an antenna and to a point on level ground that is 45 feet from the base of the antenna. If the wire make an angle of with the ground, approximate the height of the antenna to the nearest foot.

    (a) 118 feet

    (b) 124 feet
    
    (c) 128 feet

    (d) 134 feet
        

(10. 4 points). Use trigonometric identities to simplify the expression

    (a)

    (b)
    
    (c)

    (d)         

(11. 4points). If is an acute angle, is a second quadrant angle and find the exact value of

    (a) 0

    (b)
    
    (c)

    (d) 1    

(12. 4points). If is an acute angle with find the exact value of

    (a)

    (b)
    
    (c)

    (d)
        

(13. 4 points). Find all solutions in the interval [ ) to the equation

    (a)

    (b)
    
    (c)

    (d)
        

(14. 4 points). Use the addition and subtraction formulas to simplify

    (a)

    (b)
    
    (c)

    (d)
        

(15. 11 points). Two lookout ships are cruising 2 miles apart and sight an unknown ship. The angle at the first lookout ship between the directions to the other ship is and the angle at the second lookout ship between the directions to the other ships is Estimate the distance from the first lookout to the unknown ship.

(16. 11 points). A cable to the top of a tower makes an angle of with the level ground. At a point 100 yards closer to the tower the angle of elevation to the top of the tower is Estimate the length of the cable.  

(17. 11 points). Find all solutions in the interval [ ) to the equation

(18. 11 points). Sketch the graph of showing the period, phase shift, and amplitude.

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Cite this as:
Precalculus Two Practice Exam 2
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/precalculus-two-practice-exam-2.html