What is the tangent value at angle $ frac{pi}{4} $ on the unit circle?
Answer 1
James Taylor
The tangent of an angle $ \theta $ in the unit circle is defined as the ratio of the y-coordinate to the x-coordinate of the corresponding point on the unit circle. For $ \theta = \frac{\pi}{4} $, the coordinates are $ \left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right) $.
Thus:
$ \tan\left( \frac{\pi}{4} \right) = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1 $
Answer 2
Lily Perez
For the angle $ frac{pi}{4} $ on the unit circle, the coordinates are $ left( frac{sqrt{2}}{2}, frac{sqrt{2}}{2}
ight) $.
So,
$ anleft( frac{pi}{4}
ight) = frac{frac{sqrt{2}}{2}}{frac{sqrt{2}}{2}} = 1 $
Answer 3
Amelia Mitchell
For $ heta = frac{pi}{4} $ on the unit circle,
$ anleft( frac{pi}{4}
ight) = 1 $
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