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ArtBrodowski
ArtBrodowski ArtBrodowski
  • 23-05-2015
  • Mathematics
Answered

If the point (35,45) corresponds to an angle θ in the unit circle, what is tan θ ?

Verified Answer :

RedRicin
RedRicin RedRicin
  • 23-05-2015

tanθ is represented by the slope of the line formed by the point and the origin.
(sinθ is the vertical distance, cosθ is horizontal distance, and tanθ = sinθ/cosθ)

slope = difference in y / difference in x
slope = 45 / 35
slope = 9 / 7

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Giovi
Giovi Giovi
  • 23-05-2015

Considering the fllowing diagram:

The tangent of the angle \(\theta\) is the ratio between the length of the opposite side over the length of the adjacent side, i.e.:
\(tan( \theta)= \frac{45}{35} = \frac{9}{7}\)

View image Giovi
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