Find the sum of the values of x such that

where x is measured in degrees and 0< x< 360.

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- Apr 3rd 2008, 11:05 AMperashFind the sum of the values of
Find the sum of the values of x such that

where x is measured in degrees and 0< x< 360. - Apr 6th 2008, 09:55 AMmath sucks
Use the product to sum formula on the RHS,

Factor the LHS,

So LHS=RHS if which happens iff where .

Now assume . Then we can divide it from both sides, and expand the RHS to get

Similarly, this has solutions where and .

Summing up all the solutions, we have