document.write( "Question 906062: Show that: sin x cos^2x - sin x = -sin^3x \n" ); document.write( "

Algebra.Com's Answer #549623 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+sin%28x%29+cos%5E2%28x%29+-+sin+%28x%29+=+-sin%5E3%28x%29+\"$ ....substitute $\"cos%5E2%28x%29\"$ with $\"+1-sin%5E2%28x%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+highlight%28sin%28x%29%281-sin%5E2%28x%29%29%29+-+sin+%28x%29+=+-sin%5E3%28x%29+\"$ ...multiply $\"+highlight%28sin%28x%29%281-sin%5E2%28x%29%29%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+sin%28x%29%2A1-sin%28x%29%2Asin%5E2%28x%29+-+sin+%28x%29+=+-sin%5E3%28x%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+sin%28x%29-sin%5E3%28x%29+-sin+%28x%29+=+-sin%5E3%28x%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+cross%28sin%28x%29%29-sin%5E3%28x%29+-cross%28sin+%28x%29%29+=+-sin%5E3%28x%29+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+-sin%5E3%28x%29++=+-sin%5E3%28x%29+\"$ \r
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