Time remaining:
5. Find the Cartesian equation of the curve

Calculus
Tutor: None Selected Time limit: 0 Hours

Consider the following.

x = sin 
1
2
θ,    y = cos 
1
2
θ,    −π ≤ θ ≤ π
 Eliminate the parameter to find a Cartesian equation of the curve.
Apr 4th, 2015

If x = (1/2) sin θ; y = (1/2) cos θ; – π <= θ <= π are parametric equations of a curve, then

take the squares of x and y and add them: x2 + y2 = (1/4)*sin2θ + (1/4)*cos2θ = 1/4.

Answer: x2 + y2 = 1/4.


Apr 4th, 2015

This answer is not correct on my homework? Do you know why? 

Apr 4th, 2015

Maybe the parametric equations are not x = (1/2)cost; y =(1/2)sint. I am sorry but the fractions in your message do not look quite readable.

If x = cos(t/2) and y = sin(t/2), then the equation will be x^2 + y^2 = 1.

Apr 4th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Apr 4th, 2015
...
Apr 4th, 2015
Feb 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer