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write the following rectangular equation in polar form:

x^2 - y^2 = 1

 

also for x^2 + y^2 = 25, would the answer be r=5?

 May 21, 2018
 #1
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x^2   - y^2  = 1

 

(r cos  θ)^2  - (r sin  θ)^2  = 1

 

r^2 cos^2  θ - r^2 sin^2  θ   =  1

 

r^2 ( cos^2  θ  - sin^2  θ)  = 1

 

r^2  (cos 2 θ)  = 1 

 

 

 

x^2  + y^2   = 25

 

r^2  = 25

 

r  = 5

 

 

 

cool cool cool

 May 21, 2018

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