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Graphs of Reciprocal Trigonometric Functions

  1. Mar 17, 2009 #1
    1. The problem statement, all variables and given/known data

    A road is built up the slope of a hill with a height of h meters and an angle of inclination of x. The length of the road is d.

    a) Sketch a diagram of this situation. Label all quantities.

    b) Show that the length of the road is represented by the relation d = h csc x.

    c) Determine the length of a road that ascends a hill of height 100m at an angle of 0.3. Round your answer to the nearest tenth of a meter.

    d) Sketch a graph of d = h csc x for a hill of height 100m and on the interval x ε [0, pi/4].

    e) Interpret the meaning of the graph as x approaches 0.

    I'm really lost here, if anyone can point me in the right direction, or give me an idea on how to go about solving it I'd really appreciate it. Please just don't give me the answer, I really want to try and figure this out so when it comes to test time I know! ;)

    Thanks in advance! This forum is a blessing as well as all the members on it who contribute so willingly!
  2. jcsd
  3. Mar 17, 2009 #2


    Staff: Mentor

    What part of this don't you understand?
    There's probably a triangle lurking in this description.
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