document.write( "Question 206389:  cos^2x - sin^2x = sin x
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document.write( "with x greater than negative pi and less than or = pi \n" );
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| Algebra.Com's Answer #155956 by stanbon(75887)      You can put this solution on YOUR website! cos^2x - sin^2x = sin x\r \n" ); document.write( "\n" ); document.write( "with x greater than negative pi and less than or = pi \n" ); document.write( "-------------------------- \n" ); document.write( "(1-sin^2(x))-sin^2(x) = sin(x) \n" ); document.write( "1 - 2sin^2(x) = sin(x) \n" ); document.write( "2sin^2(x)+sinx -1 = 0 \n" ); document.write( "Factor to get: \n" ); document.write( "(2sin(x)-1)(sin(x)+1) = 0 \n" ); document.write( "sin(x) = 1/2 or sin(x) = -1 \n" ); document.write( "--------------------------------------- \n" ); document.write( "If sin(x) = 1/2, x = pi/6 or x = (5/6)pi \n" ); document.write( "If sin(x) = -1, x = (3/2)pi \n" ); document.write( "============================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============================================= \n" ); document.write( " |