document.write( "Question 1006779: Tan^2(157.5) in degrees \n" ); document.write( "
Algebra.Com's Answer #622845 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"tan%5E2%28%22157.5%B0%22%29=tan%5E2%28%22315%B0%22%2F2%29\"\r\n" );
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document.write( "There are at least 6 well-known formulas for the tangent of \r\n" );
document.write( "half an angle.  Since 315° is a special angle, (a QIV angle\r\n" );
document.write( "with a reference angle of 45°), we can use any of these:\r\n" );
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document.write( "\"tan%28theta%2F2%29\"\"%22%22=%22%22\"\"sin%28theta%29%2F%281%2Bcos%28theta%29%29\"\r\n" );
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document.write( "\"tan%28theta%2F2%29\"\"%22%22=%22%22\"\"tan%28theta%29%2F%281%2Bsec%28theta%29%29\"\r\n" );
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document.write( "\"tan%28theta%2F2%29\"\"%22%22=%22%22\"\"1%2F%28csc%28theta%29%2Bcot%28theta%29%29\"\r\n" );
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document.write( "\"tan%28theta%2F2%29\"\"%22%22=%22%22\"\"%281%2Bcos%28theta%29%29%2Fsin%28theta%29\"\r\n" );
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document.write( "\"tan%28theta%2F2%29\"\"%22%22=%22%22\"\"%28sec%28theta%29-1%29%2Ftan%28theta%29%29\"\r\n" );
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document.write( "\"tan%28theta%2F2%29\"\"%22%22=%22%22\"\"csc%28theta%29-cot%28theta%29%29\"\r\n" );
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document.write( "The last one is the simplest as it has no denominator. The others\r\n" );
document.write( "will require more complicated simplification, but will all end\r\n" );
document.write( "up with the same expression:\r\n" );
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document.write( "\"tan%28%22315%B0%22%2F2%29\"\"%22%22=%22%22\"\"%22%22=%22%22\"\"csc%28%22315%B0%22%29-cot%28%22315%B0%22%29%29\"\"%22%22=%22%22\"\"-sqrt%282%29-%28-1%29%29\"\"%22%22=%22%22\"\"1-sqrt%282%29\"\r\n" );
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document.write( "Edwin
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