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Math Help - AS Trignomerty Help!

  1. #1
    Member looi76's Avatar
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    AS Trignomerty Help!

    Find the maximum value and minimum value of each of the following functions. Give the least positive values of x at which they occur.

    \frac{30}{11-5cos(\frac{1}{2}x-45)}
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  2. #2
    Moo
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    Hello,

    \forall x \ , \ -1 \leq cos(x) \leq 1

    Hence the function will be minimal when the denominator will be maximal, that is to say when cos(1/2 x -45) will be minimal, ie = -1

    cos(1/2 x-45)=-1=cos(pi)

    -> x/2 -45=pi+2kpi

    -> x=2pi+90+4kpi=(4k+2)pi + 90

    So you have to find k such as x is positive and the least positive.
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