document.write( "Question 476635: Find all t in the interval [0, 2π] satisfying sin x − cos x = 1. \n" ); document.write( "
Algebra.Com's Answer #326819 by Alan3354(69443)\"\" \"About 
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sin(x) - cos(x) = 1
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\n" ); document.write( "sin - sqrt(1 - sin^2) = 1
\n" ); document.write( "Sub x for sin(x)
\n" ); document.write( "x = 1 + sqrt(1 - x^2)
\n" ); document.write( "x-1 = sqrt(1 - x^2)
\n" ); document.write( "x^2 - 2x + 1 = 1 - x^2
\n" ); document.write( "2x^2 - 2x = 0
\n" ); document.write( "x = 0, x = 1
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\n" ); document.write( "sin(x) = 0 or 1
\n" ); document.write( "--> x = 0, x = pi/4\r
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