+0  
 
0
117
2
avatar+277 

What is the rectangular equivalence to the parametric equations?

x(θ)=4cosθ+2, y(θ)=2sinθ−5, where 0≤θ<2π 

 

[       ] + [       ] = 1, where x is on the interval [    ,    ]

 

Answer choices: 

 

(x−2)2 / 16   ,    (x+2)2 / 16   ,   (x−5)2 / 4   ,   (x+5)2 / 4   ,   (y−2)5 / 16    ,   (y+2)2 / 16    ,    (y−5)2 / 4    ,   (y+5)24

 

[−7,−3]   ,   [−4,4]    ,    [−2,6]    ,    [−2,2]

 

 

 

Hello! I'm struggling with how to do this. I tried looking up multiple videos but I can't quite understand. If someone could help me, I'd appreciate that! Thanks!! :)

 Jun 8, 2020
 #1
avatar+110671 
+3

Get cos(theta) in terms of x

Get sin(theta) in terms of y

 

then my hint is     sin^2(theta)+cos(^2(theta)=1

 Jun 10, 2020
 #2
avatar+277 
+1

I got it thank you!

auxiarc  Jun 11, 2020

39 Online Users

avatar
avatar