Measuring Angles: Negatives & Quadrants

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SUMMARY

The discussion centers on the measurement of angles, particularly addressing the interpretation of negative angles in relation to quadrants. A negative angle indicates a direction relative to the coordinate system, specifically referencing the negative x-axis in Quadrant II. It is crucial to maintain the sign of the angle when considering its relationship to other angles, as dropping the negative would misrepresent the angle's position within the coordinate system.

PREREQUISITES
  • Understanding of Cartesian coordinate systems
  • Basic knowledge of angle measurement and quadrants
  • Familiarity with trigonometric functions
  • Concept of reference angles
NEXT STEPS
  • Research the properties of angles in different quadrants
  • Learn about reference angles and their applications
  • Explore the significance of negative angles in trigonometry
  • Study the relationship between angles and coordinate systems
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Students in physics or mathematics, educators teaching geometry, and anyone interested in understanding the implications of angle measurements in various quadrants.

Eucliwood
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<Moderator's note: Moved from the welcome forum. General question on the measurement of angles and thus no homework.>

So we have a physics lab and here's the diagram. I do know how to calculate all but i got negative angle. Does that mean that that angle is reference to the negative x quadrant 2? and i can just remove the negative in it?
51635738_1900207886757613_3401633155201892352_n.jpg?_nc_cat=110&_nc_ht=scontent.fmnl6-1.jpg
 

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:welcome:

It is as with all measurements. If you measure your height head to toe, are you negatively tall? So whether you can skip the sign depends on what you want to know: the absolute, i.e. standalone angle, or an angle relative to other angles and measurements. In the latter case you cannot just drop the sign, because ot would destroy the relationship to other angles. Angles are dependent on a coordinate system and thus the choice of the coordinates determine the signs of the angles.
 
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