Why is the point not on the endpoint of the line when graphing with Desmos?

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SUMMARY

The discussion centers on the behavior of points on a graph in Desmos, specifically addressing why a point does not appear on the endpoint of a line. The mathematical expression $\frac{\pi}{6} \cdot 47 \cos(\frac{\pi}{6}) < 47 \sin(\frac{\pi}{6})$ is analyzed, leading to the conclusion that the slope, represented as $m = \frac{1}{\sqrt{3}}$, is not equal to $\frac{\pi}{6}$. This indicates a misunderstanding of the relationship between angles and slopes in the context of graphing.

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  • Understanding of trigonometric functions, specifically sine and cosine.
  • Familiarity with the concept of slope in coordinate geometry.
  • Basic knowledge of graphing techniques using Desmos.
  • Ability to interpret mathematical inequalities.
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  • Explore the relationship between angles and slopes in trigonometry.
  • Learn how to use Desmos for graphing trigonometric functions effectively.
  • Study the implications of inequalities in mathematical expressions.
  • Investigate the properties of the unit circle and its application in graphing.
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Students learning trigonometry, educators teaching graphing techniques, and anyone using Desmos for mathematical visualization.

karush
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View attachment 7730

ok why is the point not on the endpoint of the line?
 

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Because $\frac\pi 6\cdot 47\cos(\frac\pi 6) < 47 \sin(\frac\pi 6)$? (Thinking)
 
ok so $\displaystyle m=\frac{1}{\sqrt{3}}$ not $\displaystyle \frac{\pi}{6}$
 

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