document.write( "Question 1055474: tanA+cotB/tanB+cotA=tanA*cotB \n" ); document.write( "
Algebra.Com's Answer #670695 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%28tanA%2BcotB%29%2F%28tanB%2BcotA%29\"\"%22%22=%22%22\"\"tanA%2AcotB\"\r\n" );
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document.write( "We will use the fact that since tangent and cotangent are\r\n" );
document.write( "reciprocals, that their product equals 1:\r\n" );
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document.write( "\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "Indicate 1's multiplied by the terms on top:\r\n" );
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document.write( "\"%28tanA%2A1%2BcotB%2A1%29%2F%28tanB%2BcotA%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "Substitute the products of a tangent by a cotangent\r\n" );
document.write( "for the 1's: \r\n" );
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document.write( "\"%28tanA%2A%28tanB%2AcotB%29%2BcotB%2A%28tanA%2AcotA%29%29%2F%28tanB%2BcotA%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "Erase the unnecessary parentheses: \r\n" );
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document.write( "\"%28tanA%2AtanB%2AcotB%2BcotB%2AtanA%2AcotA%29%2F%28tanB%2BcotA%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "Factor tanA*cotB out if the numerator:\r\n" );
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document.write( "\"%28tanA%2AcotB%28tanB%2BcotA%29%29%2F%28tanB%2BcotA%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "Cancel the tanB+cotA's\r\n" );
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document.write( "\"%28tanA%2AcotB%28cross%28tanB%2BcotA%29%29%29%2F%28cross%28tanB%2BcotA%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"tanA%2AcotB\"\r\n" );
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document.write( "Edwin
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