Find the value of $ an(frac{pi}{4}) $ using the unit circle.
Answer 1
Emily Hall
To find the value of $ \tan(\frac{\pi}{4}) $ using the unit circle:
On the unit circle, the coordinates for $ \frac{\pi}{4} $ are $ (\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}) $.
Therefore:
$ \tan(\frac{\pi}{4}) = \frac{\sin(\frac{\pi}{4})}{\cos(\frac{\pi}{4})} = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1 $
Answer 2
William King
The value of $ an(frac{pi}{4}) $ using the unit circle is found as follows:
The coordinates of $ frac{pi}{4} $ on the unit circle are $ (frac{sqrt{2}}{2}, frac{sqrt{2}}{2}) $.
Hence:
$ an(frac{pi}{4}) = frac{sin(frac{pi}{4})}{cos(frac{pi}{4})} = 1 $
Answer 3
Daniel Carter
Use the unit circle to find $ an(frac{pi}{4}) $.
The coordinates for $ frac{pi}{4} $ are $ (frac{sqrt{2}}{2}, frac{sqrt{2}}{2}) $.
Thus:
$ an(frac{pi}{4}) = 1 $
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