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Tuesday, 12 September 2017

Unit Circle


unit circle center at (0,0)

The "Unit Circle" is a circle with a radius of 1.
Being so simple, it is a great way to learn and talk about lengths and angles.
The center is put on a graph where the x axis and y axis cross, so we get this neat arrangement here.

unit circle center at (0,0)

Sine, Cosine and Tangent

Because the radius is 1, we can directly measure sine, cosine and tangent.
unit circle center angle 0
What happens when the angle, θ, is 0°?
cos 0° = 1, sin 0° = 0 and tan 0° = 0
unit circle center angle 90
What happens when θ is 90°?
cos 90° = 0, sin 90° = 1 and tan 90° is undefined


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