SOLUTION: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) cos(2θ)=−1

Question 1111487: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)
cos(2θ)=−1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.)
cos(2θ)=−1
------
cos^2(t)-sin^2(t) = -1
-------------
Note:: cos(t) = x/r ; sin(t) = y/r
-------------
(x/r)^2 - (y/r)^2 = -1
-------------------
x^2 - y^2 = -r^2
-------
Cheers,
Stan H.
-------------

RELATED QUESTIONS
Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) (answered by ikleyn)

Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) (answered by MathLover1,ikleyn,MathTherapy,greenestamps)

Convert the equation to polar form. (Use variables r and θ as needed.) y =... (answered by fractalier)

Convert the rectangular equation to polar form. (Use r and use theta for θ as... (answered by jim_thompson5910)

The letters x and y represent rectangular coordinates. Write the following equation using (answered by Fombitz)

Convert the polar equation to cartesian/rectangular coordinates (r^2) cos (2 theta) =... (answered by stanbon,ikleyn)

The letters x and y represent rectangular coordinates. Write the following equation using (answered by Edwin McCravy)

Convert the rectangular coordinates to polar coordinates with r>0 and... (answered by ikleyn)

SOLUTION: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) cos(2&#952;)=&#8722;1

SOLUTION: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) cos(2θ)=−1