document.write( "Question 204702: verify the trigonometric identity:
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document.write( "(sinx-siny/cosx+cosy)+(cosx-cosy/sinx+siny)=0 \n" );
document.write( "
Algebra.Com's Answer #154487 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! verify the trigonometric identity: \n" ); document.write( "(sinx-siny/cosx+cosy)+(cosx-cosy/sinx+siny)=0 \n" ); document.write( "-------------------- \n" ); document.write( "Multiply thru by (cosx+cosy)(sinx+siny) to get: \n" ); document.write( "---- \n" ); document.write( "(sinx-siny)(sinx+siny) + (cosx-cosy)(cosx+cosy) = 0 \n" ); document.write( "--- \n" ); document.write( "Multiply to get: \n" ); document.write( "(sin^2x-sin^2y) + (cos^2x-cos^2y) = 0 \n" ); document.write( "--- \n" ); document.write( "Substitute 1-sin^2 for each sin^2 to get: \n" ); document.write( "--- \n" ); document.write( "sin^2x-sin^2y + 1-sin^2x -(1 - sin^2y) = 0 \n" ); document.write( "--- \n" ); document.write( "Notice that the left side is zero. \n" ); document.write( "================================================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |