Precalculus Test Out Practice Exam

Part 4 Test 2 Time: 3 hours

  1. Find the exact solution(s) to the equation


  2. If tex2html_wrap_inline60 , find tex2html_wrap_inline62 .
  3. Write the following trigonometric expression as an algebraic expression in x:


  4. Find two angles that have the point (5,-4) on the terminal side of the angle.
  5. Building A and Building B are 100 feet apart. If the angle of depression from the top of Building A to the top of Building B is 20 degrees, how much taller is Building A than Building B?
  6. Find the exact value of


  7. Concerning the following function


  8. Where do the graphs of the functions tex2html_wrap_inline64 , and tex2html_wrap_inline66 intersect on the interval [6,14]?
  9. Find the approximate range of the function


  10. The graph of the function


    is bounded by two graphs. What are the equations of the boundary graphs?

  11. What is the phase shift of the graph of


    Give the answer in terms of a combination of one ore more of a, b, c, and d.

  12. Restrict the domain of the function tex2html_wrap_inline76 so that its inverse exists.
  13. Find tex2html_wrap_inline78 .
  14. If point A is located at (2,3) and point B is located at (10,-14), give the bearing and distance from point A to point B.
  15. In triangle ABC, angle tex2html_wrap_inline80 equals 40 degrees, angle tex2html_wrap_inline82 equals 30 degrees, and side AB equals 10 inches. Find the exact value of side AC.
  16. Convert 150 radians to degrees in the degree-minute-second format.
  17. Find the equation of the circle that passes through the points (2,3), (7,1), (9,5).
  18. If tex2html_wrap_inline84 , and the terminal side of t is located on the second quadrant, find tex2html_wrap_inline88 ans tex2html_wrap_inline90 in the interval tex2html_wrap_inline92 . Find the reference angle and the real angle in terms of degrees in the degree-minute-second format.

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Wed Jul 16 16:22:45 MDT 1997

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