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Math Help - Simple Trignometric Function

  1. #1
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    Cool Simple Trignometric Function

    A function f is defined by f : x → 3 − 2 sinx, for 0◦ ≤ x ≤ 360◦
    (i) Find the range of f
    (ii) Sketch the graph of y = f(x)
    A function g is defined by g : x → 3 − 2 sinx, for 0◦ ≤ x ≤ A◦, where A is a constant.
    (iii) State the largest value of A for which g has an inverse.


    I have drawn the graph as following:




    My inquiry is regarding part (iii)
    Now the graph is 0-360 degrees, the answer to this part is 90 degrees which lies at 1.5, 1. What I want to know is that why can't the answer be 270 degrees which lies at 5, 5 considering that if a horizontal line is drawn at both places, it would only cut once ... no?

    I hope the question is clear.

    Thanks!
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  2. #2
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    Cool

    I have a vague idea about this but want your opinion. So please give your opinion guys.
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  3. #3
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    C'mon fellas, I really need to know this!
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  4. #4
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    I am still a bit confused about this. So any help guys?
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