document.write( "Question 1181001: Hi, \r
\n" ); document.write( "\n" ); document.write( "There's a parametric equations problem I'm confused about. The question is: convert this set of parametric equations to rectangular form - x = 3cos(t) and y = 3sin(t). I know that the trig identity x^2 + y^2 = 1 is involved here but I'm not sure how. \r
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Algebra.Com's Answer #810805 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "If your parametric equations are\r\n" );
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document.write( "    x = 3cos(t)\r\n" );
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document.write( "    y = 3sin(t),\r\n" );
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document.write( "then SQUARE each equation and then add them.\r\n" );
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document.write( "You will get\r\n" );
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document.write( "    x^2 + y^2 = 9cos^(t) + 9sin^2(t) = 9*(sin^2(t) + cos^2(t)) = 9.\r\n" );
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document.write( "So, you just converted the given parametric equations to rectangular form\r\n" );
document.write( "and this converted (resulting) equation is\r\n" );
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document.write( "    x^2 + y^2 = 9.\r\n" );
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document.write( "It is the standard equation of the circle  of the radius of 3 units centered at the origin of the coordinate system.\r\n" );
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document.write( "    |  CONGRATULATIONS :  you just completed the solution    |\r\n" );
document.write( "    |        and reached your destination (!)                |\r\n" );
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