If angle lies in second Quadrant?

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Angles in the second quadrant are defined as being greater than 90 degrees and less than 180 degrees. The terminal side of such angles extends into the first quadrant, but this does not alter their classification. Points on the terminal side in the second quadrant have negative x-coordinates and positive y-coordinates. The confusion arises from the distinction between the angle itself and its terminal side. Understanding this difference clarifies the concept of angles in the second quadrant.
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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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