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Question: The least of a function

Question:The least of a function

toandhsp 300
January 18 2012
1

I find the least value of the function h(x) = 1+2*cos(2*x)+3*cos(4*x)+4*cos(8*x). I did

h:=x->1+2*cos(2*x)+3*cos(4*x)+4*cos(8*x);

minimize(h(x),x=-Pi/12..5*Pi/12,location=true);

But i received 1/2-3^(1/2), {[{x = 5/12*Pi}, 1/2-3^(1/2)]}. This is wrong answer. This is shown by

plot(h(x),x=-Pi/12..5*Pi/12); 
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