Associated Topics || Dr. Math Home || Search Dr. Math

### 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
malayeri@ece.ut.ac.ir
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

Associated Topics:
High School Basic Algebra

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search