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Math Help - extrema of trig function

  1. #1
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    extrema of trig function

    f(x)= (4cos (x) -cos (3x))^2 + (3sin (x) -sin (3x))^2
    f(x) has to be simplified to the form: f(x)= a cos ^2 (2x) + b cos (2x) + c where a,b,and c are real numbers.


    (1) a = - 2


    (2) a +b +c=9


    (3) M >16


    (4) m < 0


    (5) M +m <25


    So I have this problem, and it has me absolutely stumped.


    help?


    thanks
    -Kaplac
    Last edited by kaplac; November 5th 2009 at 06:43 AM.
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  2. #2
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    Quote Originally Posted by kaplac View Post
    • Let F(x) =. F(x) can be can be expressed as F(x) = where a, b, c are real numbers. Let M and m be maximum and minimum values of F(x) correspondingly. Which of the following statements are true? Show your work.


    (1) a = - 2


    (2) a +b +c=9


    (3) M >16


    (4) m < 0


    (5) M +m <25


    So I have this problem, and it has me absolutely stumped.


    help?


    thanks
    -Kaplac

    Did you check your own post? There's no definition of F(x).

    Tonio
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  3. #3
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    Quote Originally Posted by kaplac View Post
    • Let F(x) =. F(x) can be can be expressed as F(x) = where a, b, c are real numbers. Let M and m be maximum and minimum values of F(x) correspondingly. Which of the following statements are true? Show your work.
    Is there something missing here? I see "F(x)= " and a blank and "F(x) can be expressed as " = where a , b, c are real numbers" and again there is a blank where the definition of F is supposed to go. We can't help without knowing what "F" is!


    (1) a = - 2


    (2) a +b +c=9


    (3) M >16


    (4) m < 0


    (5) M +m <25


    So I have this problem, and it has me absolutely stumped.


    help?


    thanks
    -Kaplac
    Follow Math Help Forum on Facebook and Google+

  4. #4
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    Joined
    Nov 2009
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    agh, sorry about that.

    I copy/pasted the formula right before bed off of a word document and I forgot equation editor puts equations down as separate text boxes.

    nevertheless, the original post has been edited to contain the problem.
    I'm still stumped.
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