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)![]() ![]() You can put this solution on YOUR website! sin(x) - cos(x) = 1 \n" ); document.write( "------------------- \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 \n" ); document.write( "-------------- \n" ); document.write( "sin(x) = 0 or 1 \n" ); document.write( "--> x = 0, x = pi/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |