document.write( "Question 1199347: If tan(x/2)=sinx and cosx≠0, then the value of tanx is… \n" ); document.write( "
Algebra.Com's Answer #833195 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"tan%28x%2F2%29\"\"%22%22=%22%22\"\"sin%28x%29\"\r\n" );
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document.write( "One obvious solution is \"x=0%2Bn%2A2pi\"\"%22%22=%22%22\"\"x=n%2A2pi\"\r\n" );
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document.write( "\"sin%28x%2F2%29%2Fcos%28x%2F2%29\"\"%22%22=%22%22\"\"sin%282%2Aexpr%28x%2F2%29%29\"\r\n" );
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document.write( "\"sin%28x%2F2%29%2Fcos%28x%2F2%29\"\"%22%22=%22%22\"\"2sin%28x%2F2%29cos%28x%2F2%29\"\r\n" );
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document.write( "Divide both sides by \"sin%28x%2F2%29\", assuming \"x%3C%3E0\", where\r\n" );
document.write( "\"x=0\" is true in the obvious solution above.\r\n" );
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document.write( "\"1%5E%22%22%2Fcos%28x%2F2%29\"\"%22%22=%22%22\"\"2cos%28x%2F2%29\"\r\n" );
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document.write( "\"1\"\"%22%22=%22%22\"\"2cos%5E2%28x%2F2%29\"\r\n" );
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document.write( "\"1%2F2\"\"%22%22=%22%22\"\"cos%5E2%28x%2F2%29\"\r\n" );
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document.write( "\"%22%22%2B-sqrt%281%2F2%29\"\"%22%22=%22%22\"\"cos%28x%2F2%29\"\r\n" );
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document.write( "\"cos%28x%2F2%29\"\"%22%22=%22%22\"\"%22%22%2B-sqrt%28%281%2A2%29%2F%282%2A2%29%29\"\r\n" );
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document.write( "\"cos%28x%2F2%29\"\"%22%22=%22%22\"\"%22%22%2B-sqrt%28%282%29%2F%284%29%29\"\r\n" );
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document.write( "\"cos%28x%2F2%29\"\"%22%22=%22%22\"\"%22%22%2B-sqrt%282%29%2F2\"\r\n" );
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document.write( "\"x%2F2\"\"%22%22=%22%22\"\"%22%22%2B-pi%2F4%2B2pi%2An\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%22%22%2B-pi%2F2%2B4pi%2An\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"4pi%2An%2B-pi%2F2\"\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"pi%2A%284n+%2B-+1%2F2+%29\", where n is any integer.\r\n" );
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document.write( "and also the obvious solution \"x\"\"%22%22=%22%22\"\"n%2A2pi\"\r\n" );
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document.write( "Edwin

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