# Maximum of...

by AlbertEinstein
Tags: maximum
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,682 "The question"? Where, in your homework? Looks pretty straight forward to me: differentiate and set the derivative equal to 0. Use the sin(a+b) formula to isolate $sin(3\pi x)$ and $cos(3\pi x)$.
 Math Emeritus Sci Advisor Thanks PF Gold P: 39,682 Maximum of... Yes, it gets complicated. Anything wrong with that? You'll also, by the way, need to use the double angle formulas to reduce $4\pi x$ to $2\pi x$. After you done all that, you will have an equation of the form $A sin(2\pi x)+ B cos(2\pi x)= 0$ with rather complicated numbers for A and B. But they are only numbers! Write $tan(2\pi x)= -B/A$ and solve.