Convertong polar equations to rectangular eq.

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Homework Help Overview

The discussion revolves around converting polar equations to rectangular equations, specifically focusing on the angle of 45 degrees and its implications in the Cartesian coordinate system.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the relationship between the polar angle and its rectangular representation, questioning whether the equation derived from the tangent function implies a direct relationship between y and x.

Discussion Status

Some participants affirm the relationship between y and x at 45 degrees, while others engage in clarifying the geometric interpretation of this relationship. The discussion reflects a mix of confirmations and inquiries about the angle's significance.

Contextual Notes

Participants reference the need for visual aids, such as a coordinate system, to better understand the relationship between the polar and rectangular forms.

catteyes
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Homework Statement


(theta)= 45Degrees


Homework Equations


(theta)= Arctan(y/x) (x>0)
(theta)= Arctan(y/x) (x<0)


The Attempt at a Solution



Tan(45)=y/x
1 = y/x
Does that mean Y = X?
:confused:
 
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catteyes said:

Homework Statement


(theta)= 45Degrees


Homework Equations


(theta)= Arctan(y/x) (x>0)
(theta)= Arctan(y/x) (x<0)


The Attempt at a Solution



Tan(45)=y/x
1 = y/x
Does that mean Y = X?
:confused:
Yes, it does! If you are not convinced, draw an xy- coordinate system, mark the line at 45 degrees to the positive x-axis and draw the line y= x!
 
What angle to the positive x-axis does the line y=x make?
 
oh 45 degrees.

thanks
 

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