document.write( "Question 1190028: Prove that sin^4 x - sin^2 x is equal to cos^4 x - cos^2 x \n" ); document.write( "

Algebra.Com's Answer #821554 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "Prove that sin^4 x - sin^2 x is equal to cos^4 x - cos^2 x
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document.write( "Based on Trigonometry identity sin^2(x) + cos^2(x) = 1, we have\r\n" );
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document.write( "    sin^2(x) = 1 - cos^2(x)  and  cos^2(x) = 1 - sin^2(x).\r\n" );
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document.write( "Using it, we have this one line chain of equivalent transformations\r\n" );
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document.write( " =  =  =  = .\r\n" );
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document.write( "and the proof is completed at this point.\r\n" );
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