document.write( "Question 339645: I don't understand how my book comes up witht these answers: If anyone can help, I'd greatly appreciate it!\r
\n" ); document.write( "\n" ); document.write( "Convert from polar equation to rectangular equation:
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\n" ); document.write( "\n" ); document.write( "r=4/1+2Sin(theta)
\n" ); document.write( "Answer is: X squared - 3Ysquared + 16y - 16 = 0\r
\n" ); document.write( "\n" ); document.write( "Also, this one...they ask to change it to a polar equation.\r
\n" ); document.write( "\n" ); document.write( "x squared - y squared = 12.\r
\n" ); document.write( "\n" ); document.write( "The answer given is r squared = 12sec (2theta) I don't see how they get these??? \n" ); document.write( "

Algebra.Com's Answer #243324 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!
I don't understand how my book comes up witht these answers: If anyone can help, I'd greatly appreciate it!\r
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document.write( "Draw this picture which defines x,y,r, and q\r\n" );
document.write( "and all their relationships.\r\n" );
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document.write( "Clear of fractions:\r\n" );
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document.write( "Replace any trig functions:\r\n" );
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document.write( "Refer to the picture above and you can see that you can \r\n" );
document.write( "replace  by \r\n" );
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document.write( "Now replace the r by using the Pythagorean theorem \r\n" );
document.write( "from the picture above.\r\n" );
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document.write( "Isolate the radical term:\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "-------------------------------\r\n" );
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document.write( "Also, this one...they ask to change it to a polar equation.\r\n" );
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document.write( "Refer to the picture above, write the expressions for the sine and\r\n" );
document.write( "the cosine:\r\n" );
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document.write( ",  \r\n" );
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document.write( "Solve for x and y:\r\n" );
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document.write( "Substitute these:\r\n" );
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document.write( "Factor out  on the left\r\n" );
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document.write( "Now we can recognize that what's in the parentheses is the right side \r\n" );
document.write( "of the identity  which you\r\n" );
document.write( "should have memorized. So substituting:\r\n" );
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document.write( "Replace the  by \r\n" );
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document.write( "Invert and multiply:\r\n" );
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document.write( "Edwin

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