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Find the $ sin $, $ cos $, and $ an $ values for the angle $ heta = 45° $ in the unit circle

Answer 1

Abigail Nelson

Ella Lewis

For the angle $ \theta = 45° $ in the unit circle:

The coordinates are $ ( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} ) $.

Thus, $ \sin 45° = \frac{\sqrt{2}}{2} $

$ \cos 45° = \frac{\sqrt{2}}{2} $

$ \tan 45° = 1 $

Answer 2

Alex Thompson

Christopher Garcia

For $ heta = 45° $:

Since the angle is in the first quadrant, the coordinates are $ ( frac{sqrt{2}}{2}, frac{sqrt{2}}{2} ) $.

Therefore, we have:

$ sin 45° = frac{sqrt{2}}{2} $

$ cos 45° = frac{sqrt{2}}{2} $

$ an 45° = frac{frac{sqrt{2}}{2}}{frac{sqrt{2}}{2}} = 1 $

Answer 3

Amelia Mitchell

Matthew Carter

For $ heta = 45° $:

The values you need are:

$ sin 45° = frac{sqrt{2}}{2} $

$ cos 45° = frac{sqrt{2}}{2} $

$ an 45° = 1 $