Solving a Complicated Equation
Date: 25 Apr 1995 01:34:40 -0400 From: Anonymous Subject: IMPORTANT Dear Dr. Math: I sent you a difficult math problem yesterday. Here is that problem again: Please solve this equation for variable X with parameter k: sin(X)+sin(5*X)+sin(9*x)+....+sin((4*k+1)*X)=k+1 My internet address has been changed. Please send the answer to this address: email@example.com Thank you. reza navid
Date: 28 Apr 1995 15:33:39 -0400 From: Dr. Ken Subject: Re: IMPORTANT Hello there! Here's something to think about in that equation: there are k+1 terms on the left side of the equation (one for each value that goes from 0 to k), each of which is less than or equal to 1. The right side is k+1. What constraints must be put on k+1 numbers, each of which is less than or equal to 1, so that they add up to k+1? Once you've got that, see if the rest of the problem falls into place. If you still have trouble, write us back and we'll give you some more hints. -K
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