document.write( "Question 1129548: Prove the identity: \"sin%282x%29%2F%282sin%28x%29%29=cos%5E2%28x%2F2%29+-+sin%5E2%28x%2F2%29\" \n" ); document.write( "
Algebra.Com's Answer #746124 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"sin%282x%29%2F%282sin%28x%29%29=cos%5E2%28x%2F2%29+-+sin%5E2%28x%2F2%29\"\r\n" );
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document.write( "Use the identity: \"cos%5E2%28theta%29-sin%5E2%28theta%29=cos%282theta%29\"\r\n" );
document.write( "on the right side with \"theta=x%2F2\" to rewrite the right\r\n" );
document.write( "side as cos(x).\r\n" );
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document.write( "\"sin%282x%29%2F%282sin%28x%29%29=cos%28x%29\"\r\n" );
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document.write( "Now work with the left side.  [It's OK to do this, because you are\r\n" );
document.write( "only working with one side AT A TIME, never BOTH sides together!!!]\r\n" );
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document.write( "Use the identity: \"sin%282theta%29=2sin%28theta%29cos%28theta%29\" on the\r\n" );
document.write( "left side:\r\n" );
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document.write( "\"2sin%28x%29cos%28x%29%2F%282sin%28x%29%29=cos%28x%29\"\r\n" );
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document.write( "Cancel:\r\n" );
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document.write( "\"cos%28x%29=cos%28x%29\"\r\n" );
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document.write( "Edwin
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