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If the point (35,45) corresponds to an angle θ in the unit circle, what is tan θ ?
tanθis 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
The tangent of the angle [tex] \theta[/tex] is the ratio between the length of the opposite side over the length of the adjacent side, i.e.: [tex]tan( \theta)= \frac{45}{35} = \frac{9}{7} [/tex]
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