If angle lies in second Quadrant?

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SUMMARY

Angles located in the second quadrant are definitively greater than 90 degrees and less than 180 degrees. The terminal side of such angles extends into the first quadrant, which can lead to confusion regarding their measurement. In the Cartesian coordinate system, any point (x, y) on the terminal side of an angle in the second quadrant will have a negative x-coordinate and a positive y-coordinate. This distinction is crucial for understanding the properties of angles in different quadrants.

PREREQUISITES
  • Understanding of Cartesian coordinate system
  • Knowledge of angle measurement in degrees
  • Familiarity with the concept of quadrants in geometry
  • Basic trigonometric principles
NEXT STEPS
  • Study the properties of angles in different quadrants
  • Learn about the unit circle and its relation to angle measurement
  • Explore trigonometric functions in the second quadrant
  • Review the definitions of terminal sides of angles
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Students of geometry, mathematics educators, and anyone seeking to clarify concepts related to angles and their properties in the Cartesian coordinate system.

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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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