Find the tangent value of $ frac{pi}{4} $ in the unit circle

To find the tangent value of $ \frac{\pi}{4} $ in the unit circle, use the definition of tangent:

$ \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)} $

At $ \theta = \frac{\pi}{4} $, both the sine and cosine values are:

$ \sin(\frac{\pi}{4}) = \cos(\frac{\pi}{4}) = \frac{\sqrt{2}}{2} $

Therefore:

$ \tan(\frac{\pi}{4}) = \frac{\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} = 1 $

To find the tangent value of $ frac{pi}{4} $ in the unit circle, remember that:

$ an( heta) = frac{sin( heta)}{cos( heta)} $

Since:

$ sin(frac{pi}{4}) = cos(frac{pi}{4}) $

Then:

$ an(frac{pi}{4}) = 1 $

To find the tangent value of $ frac{pi}{4} $, use:

$ an(frac{pi}{4}) = 1 $

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