document.write( "Question 1083798: X=asectheta and y = btantheta are parametric equation of ........
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Algebra.Com's Answer #697850 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "X = \"a%2Asec%28theta%29\",  Y = \"b%2Atan%28theta%29\"   ====>\r\n" );
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document.write( "X = \"a%2Fcos%28theta%29\",  Y = \"b%2Atan%28theta%29\"   ====>\r\n" );
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document.write( "\"X%2Fa\" = \"1%2Fcos%28theta%29\",  \"Y%2Fb\" = \"tan%28theta%29\"  ====>\r\n" );
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document.write( "\"%28X%2Fa%29%5E2\" = \"1%2Fcos%5E2%28theta%29\",  \"Y%2Fb%29%5E2\" = \"sin%5E2%28theta%29%2Fcos%5E2%28theta%29\"  ====>\r\n" );
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document.write( "\"X%5E2%2Fa%5E2\" - \"Y%5E2%2Fb%5E2\" = \"1%2Fcos%5E2%28theta%29\" - \"sin%5E2%28theta%29%2Fcos%5E2%28theta%29\" = 1.\r\n" );
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document.write( "So, X and Y are constrained by the equation\r\n" );
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document.write( "\"X%5E2%2Fa%5E2\" - \"Y%5E2%2Fb%5E2\" = 1,\r\n" );
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document.write( "which is an equation of hyperbola.\r\n" );
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