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Find the value of $arctan(1)$ and its corresponding point on the unit circle

Answer 1

Abigail Nelson

Henry Green

To find the value of $ \arctan(1) $, we need to determine the angle whose tangent is 1. This angle is $ \frac{\pi}{4} $ radians or $ 45^{\circ} $.

On the unit circle, the coordinates corresponding to $ \frac{\pi}{4} $ radians are $( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} )$.

Thus, the value of $ \arctan(1) $ is $ \frac{\pi}{4} $ and the corresponding point on the unit circle is $( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} )$.

Answer 2

Alex Thompson

William King

The value of $ arctan(1) $ is $ frac{pi}{4} $ radians or $ 45^{circ} $. On the unit circle, this corresponds to the point $( frac{sqrt{2}}{2}, frac{sqrt{2}}{2} )$.

Answer 3

Amelia Mitchell

Christopher Garcia

The value of $ arctan(1) $ is $ frac{pi}{4} $. The corresponding unit circle point is $( frac{sqrt{2}}{2}, frac{sqrt{2}}{2} )$.