SOLUTION: find the rectangular equation of the curve whose parametric equations are x=-2sin(t) and y=cos(t), where 0 <= t <= 2pi

SOLUTION: find the rectangular equation of the curve whose parametric equations are x=-2sin(t) and y=cos(t), where 0 <= t <= 2pi

Algebra.Com

Question 218359: find the rectangular equation of the curve whose parametric equations are
x=-2sin(t) and y=cos(t), where 0 <= t <= 2pi
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: use the identity

. You can square both sides of each equation to get

and

. From there, isolate the trig functions and perform the necessary substitutions.

Note: your answer should be

. Let me know if you still need help.
RELATED QUESTIONS
Find the rectangular equation of the curve whose parametric equations are x = -2 cos(t)... (answered by ikleyn)

Find the rectangular equation of the curve whose parametric equations are: x=5cos 2t and... (answered by Fombitz,stanbon)

Find the rectangular equation of the curve given by the parametric equations below.... (answered by ikleyn)

If the parametric equations of a curve are y=t-e^t and x=t+e^t ,find the cartesian... (answered by Edwin McCravy)

Find the rectangular equation of the curve given by the parametric equation below. x (answered by ikleyn)

Name the curve and find the rectangular form for the parametric equations.? The... (answered by ikleyn,ewatrrr)

Sketch the curve of the parametric equations. Eliminate the parameter and write the... (answered by Fombitz)

1. Find a set of parametric equations for the line which passes through the points (-2, (answered by Fombitz)

The parametric equations of a curve are x=1+2t and y=4+t^2. Find the Cartesian equation... (answered by tinbar)