2007 iTest Problems/Problem 48

Problem

Let a and b be relatively prime positive integers such that $a/b$ is the maximum possible value of $\sin^2x_1+\sin^2x_2+\sin^2x_3+\cdots+\sin^2x_{2007}$ , where, for $1\leq i\leq 2007, x_i$ is a nonnegative real number, and $x_1+x_2+x_3+\cdots+x_{2007}=\pi$ . Find the value of $a+b$ .

Solution

13

2007 iTest (Problems, Answer Key)
Preceded by: Problem 47	Followed by: Problem 49
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2007 iTest Problems/Problem 48

Problem

Solution

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