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    My workings:

    Correct answers:

    I believe my method is correct but my answers for part (a) do not match with the answers given. Also, can someone explain to me how part (b) is done? I tried differentiation, but I only ended up with a minimum. Moreover, I don't think differentiation is the right approach here since they haven't specified the range and want us to find the global maximum & minimum. How is this to be done?



    EDIT: it should be x = +-theta +2n(pi). That doesn't matter really but I thought I'd mention it anyway.
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    for part b) there is no need for calculus...

    to make the fraction big you use the smallest value of f(x)... and add 6

    to make the fraction small you use the biggest value of f(x)... and add 6
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