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Determine the values of $ cos( heta) $ and $ sin( heta) $ given that the point $ (x, y) $ is on the unit circle

Answer 1

Abigail Nelson

Matthew Carter

Given that $ (x, y) $ is on the unit circle, we know:

$ x^2 + y^2 = 1 $

Using the definitions of the trigonometric functions on the unit circle, we have:

$ \cos(\theta) = x $

$ \sin(\theta) = y $

Thus, the values of $ \cos(\theta) $ and $ \sin(\theta) $ are:

$ \cos(\theta) = x $

$ \sin(\theta) = y $

Answer 2

Alex Thompson

Olivia Lee

For a point $ (x, y) $ on the unit circle, we have:

$ x^2 + y^2 = 1 $

Thus:

$ cos( heta) = x $

$ sin( heta) = y $

Answer 3

Amelia Mitchell

Henry Green

On the unit circle, $ (x, y) $ gives:

$ cos( heta) = x $

$ sin( heta) = y $