Thread: 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

Originally Posted by kaplac

• 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

Originally Posted by kaplac

• 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

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.