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August 5th, 2012, 03:00 PM  #1 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Eliminate the parameter t. Find a rectangular equation for t
problem #1 x = sq.root of t, y = 2t + 3; 0 <= t <= 4 problem #2 x= 4 cos t, y = 4 sin t; 0 <= t <= 2pie Thanks math community. 
August 5th, 2012, 03:11 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Eliminate the parameter t. Find a rectangular equation f
1.) Take the equation for x and square it, then substitute for t into the equation for y and state the restricted domain. 2.) Square both equations, add together and factor the right side and use a Pythagorean identity on the trig. terms. Let us know your results. 
August 5th, 2012, 07:59 PM  #3 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: Eliminate the parameter t. Find a rectangular equation f
stumped on the first problem for #2 ... 16cost + 16sint what next? or do I go 4cost^2 + 4cost^2 = 1 so answer = 16 ??? Thanks Mark 
August 5th, 2012, 08:05 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Eliminate the parameter t. Find a rectangular equation f
1.) Squaring the equation for x we obtain: where Now, substitute for t into the equation for y: 2.) Squaring both parametric equations, we get: Adding, we get: Since by the Pythagorean identity we have: 
August 5th, 2012, 08:43 PM  #5 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: Eliminate the parameter t. Find a rectangular equation f
ok now I follow u on both. that was too simple lol I am done with trig after next week. I have IMO a horrible trig teacher Mark and I had long since shut down and tried to teach myself trig out of the book. this did not workout as I hoped, which in turn brought more frustration. The instructor is great with math but has a very very heavy accent and his teaching style(again IMO) is very bad. on the other hand I am doing great in Statistics and also have a great teacher in that class. ok 
August 5th, 2012, 08:44 PM  #6 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: Eliminate the parameter t. Find a rectangular equation f
also Mark do I need to solve and/or factor more on these equations or is this final? thanks 
August 5th, 2012, 08:56 PM  #7 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Eliminate the parameter t. Find a rectangular equation f
Those answers are fine, I don't see how they can be further simplified, etc. Sorry to hear your trig. teacher's style does not work for you. Stats was my least favorite math class. 

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