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Unit circle

The unit circle is the circle of radius 1 centered at the origin (0, 0). In this circle, the use of radians is preferred over the use of degrees.

 


Degrees

If an argument to sine is scaled by a frequency x, like in

then the first derivative gives

The second derivative shows

 


Radians

If this same sine is expressed in radians you get a different solution

Circular functions only behave correctly when radians are used.

 


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