Determine the value of $ an( heta) $ at $ heta = frac{3pi}{4} $ using the unit circle chart.
Answer 1
James Taylor
To determine the value of $ \tan(\theta) $ at $ \theta = \frac{3\pi}{4} $, we use the unit circle chart. The angle $ \frac{3\pi}{4} $ is in the second quadrant, where the reference angle is $ \frac{\pi}{4} $. In this quadrant, the tangent value is negative.
Since $ \tan(\frac{\pi}{4}) = 1 $,
$ \tan(\frac{3\pi}{4}) = -1 $
Therefore, the value of $ \tan(\frac{3\pi}{4}) $ is:
$ \boxed{-1} $
Answer 2
Lily Perez
To find the value of $ an( heta) $ at $ heta = frac{3pi}{4} $ using the unit circle chart, note that $ heta $ lies in the second quadrant. The reference angle is $ frac{pi}{4} $, and tangent is negative in the second quadrant.
$ an(frac{3pi}{4}) = – an(frac{pi}{4}) = -1 $
The value is:
$ oxed{-1} $
Answer 3
Sophia Williams
At $ heta = frac{3pi}{4} $,
$ an(frac{3pi}{4}) = -1 $
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