document.write( "Question 872509: Find all solutions of the equation in the interval [0, 2π)\r
\n" ); document.write( "\n" ); document.write( "sin(x + π/4) − sin(x − 5π/4) = sqrt 2/2
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Algebra.Com's Answer #526223 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Find all solutions of the equation in the interval [0, 2π)
\n" ); document.write( "solve for x
\n" ); document.write( "\"sin%28x+%2B+pi%2F4%29-+sin%28x+-+5pi%2F4%29+=+sqrt%282%29%2F2\"
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\n" ); document.write( "\"sin%28x%2Bpi%2F4%29=sinx%2Acos%28pi%2F4%29%2Bcosx%2Asin%28pi%2F4%29\"
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\n" ); document.write( "\"sin%28x-5pi%2F4%29=sinx%2Acos%285pi%2F4%29-cosx%2Asin%285pi%2F4%29\"
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\n" ); document.write( "\"sqrt%282%29sinx=sqrt%282%29%2F2\"
\n" ); document.write( "\"sinx=1%2F2\"
\n" ); document.write( "x=π/6, 5π/6
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