If angle lies in second Quadrant?

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Homework Help Overview

The discussion revolves around the properties of angles in the second quadrant of the Cartesian coordinate system, specifically addressing the confusion regarding the definition and implications of such angles.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of angles in the second quadrant, questioning how an angle can be considered to lie in that quadrant while also acknowledging its relationship with the first quadrant. There is a discussion about the coordinates of points on the terminal side of the angle.

Discussion Status

Some participants have provided clarifications regarding the definitions of angles and their terminal sides, while others express confusion about the implications of these definitions. The conversation is ongoing, with multiple interpretations being explored.

Contextual Notes

There is a reference to a textbook definition regarding the coordinates of points in the second quadrant, which may influence participants' understanding of the angle's properties. Additionally, the discussion includes a link to external resources for further information.

HussanAli
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If angle lies in second Quadrant??

Hey fellows I want to know that if angle lies in second quadrant but how,,, if it lies then some of its portion is in first quadrant and it would make this angle greater than 90 degress.
 
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Yes, angles in the second quadrant are greater than 90 degrees. Why is that a problem?
 


That is correct, the angle is greater than 90 but less than 180 degrees.
 


kuruman said:
That is correct, the angle is greater than 90 but less than 180 degrees.
It is written in my bookthat if angle is in second quadrant then a point (x,y) on its terminal side has negative x cordinate and positive y cordinate ?:confused:
 


HussanAli said:
It is written in my bookthat if angle is in second quadrant then a point (x,y) on its terminal side has negative x cordinate and positive y cordinate ?:confused:

The vertical axis (y-axis) is considered to be x = 0 (in the cartesian plane). Therefore, any point (x,y) in the second quadrant will have a negative x value and a positive y value.

Consult this link here if you require more information: http://en.wikipedia.org/wiki/Cartesian_coordinate_system
 
HussanAli said:
Hey fellows I want to know that if angle lies in second quadrant but how,,, if it lies then some of its portion is in first quadrant and it would make this angle greater than 90 degress.

Hi HussanAli! :wink:

I think you're confusing two different meanings of the word "angle" …

when we say "the angle lies in second quadrant", we mean that the "terminal side" of the angle does …

but of course, as you say, the "whole" angle also includes the first quadrant.

It's standard English to use the first meaning. :smile:
 

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