Unit Circle Values, Reference and Coterminal Angles

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What is the Unit Circle?

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The Unit Circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.

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CCSS.HSF.TF.A.2

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What are coterminal angles?

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position, differing by full rotations of 360° or 2π radians.

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How do you find a reference angle?

Back

To find a reference angle, subtract the angle from 180° if it's in the second quadrant, subtract from 360° if in the third quadrant, or use the angle itself if in the first quadrant.

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What is the reference angle for 300°?

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The reference angle for 300° is 60°.

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@@rac{1}{ an(30^ ext{o})} = rac{ ext{opposite}}{ ext{adjacent}} = rac{1}{rac{ ext{sqrt}(3)}{3}} = rac{ ext{sqrt}(3)}{3}$$.

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CCSS.HSG.SRT.C.6

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@@ an(45^ ext{o}) = 1$$.

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CCSS.HSF.TF.A.2

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@@ an(90^ ext{o})$$ is undefined.

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CCSS.HSF.TF.A.2

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@@ an(180^ ext{o}) = 0$$.

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CCSS.HSF.TF.A.2

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Back

@@ an(270^ ext{o})$$ is undefined.

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CCSS.HSF.TF.A.2

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@@ an(360^ ext{o}) = 0$$.

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CCSS.HSF.TF.A.2