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Trigonometric inequality problem.

  1. Aug 31, 2011 #1
    1. The problem statement, all variables and given/known data

    Deduce that 0 ≤ MSP154219h2f53c89aa97ch00001f2200631f7c6f1g.gif ≤ 10/9 for all values of x.

    2. Relevant equations

    3. The attempt at a solution

    Is it possible to sketch a graph for MSP154219h2f53c89aa97ch00001f2200631f7c6f1g.gif ? How?

    Or is there any methods to find the max./min. value of MSP154219h2f53c89aa97ch00001f2200631f7c6f1g.gif ?

    Please enlighten me....
  2. jcsd
  3. Aug 31, 2011 #2


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    Homework Helper

    is the denominator ever zero or negative? if not try mutiplying through by it

    or find the critical points to fiind max and min
  4. Sep 1, 2011 #3


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    Staff: Mentor

  5. Sep 1, 2011 #4
    If you can prove [itex]1+sin(x)-\frac{10}{9}(5+4cos(x))[/itex] is always less than 0, you can get the less than part. If you think about the numerator, the greater than part also follows quickly.
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