document.write( "Question 1043835: prove that $\"%28cos%5E3X%2BSin%5E3X%29%2F%28cosX%2BsinX%29=%281-sinXcosX%29\"$ \n" ); document.write( "

Algebra.Com's Answer #659003 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( " $\"%28cos%5E3%28x%29%2Bsin%5E3%28x%29%29%2F%28cos%28x%29%2Bsin%28x%29%29=1-sin%28x%29cos%28x%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "recall: $\"a%5E3%2Bb%5E3=%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"cos%5E2%28x%29-cos%28x%29sin%28x%29%2Bsin%5E2%28x%29=1-sin%28x%29cos%28x%29\"$ .....rearrange left side\r
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\n" ); document.write( "\n" ); document.write( " $\"sin%5E2%28x%29%2Bcos%5E2%28x%29-sin%28x%29cos%28x%29=1-sin%28x%29cos%28x%29\"$ ......since $\"sin%5E2%28x%29%2Bcos%5E2%28x%29=1\"$ , we have\r
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\n" ); document.write( "\n" ); document.write( " $\"1-sin%28x%29cos%28x%29=1-sin%28x%29cos%28x%29\"$ \r
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