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The Unit Circle Dr. Shildneck Fall, 2014
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The Unit Circle The Unit Circle is a circle of radius 1-unit.
Since angles have the same measure regardless of the size of their terminal side, we generally speak about their trigonometric ratios by using angles as they rotate around a unit circle.
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Special Angles 90o 120o 60o 135o 45o 150o 30o 180o 0o 360o 210o 330o
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Special Right Triangles
30 – 60 – 90 x 2 2 1 x x 1 = 45 – 45 – 90 1
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Trig Values on the Unit Circle
1 1 𝟏 𝟐 𝟏 𝟐 30o 30o 30o 30o 𝟑 𝟐 − 𝟑 𝟐 1 1 210o 330o
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Trig Values on the Unit Circle
1 𝟏 𝟐 = 𝟐 𝟐 45o 𝟐 𝟐
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Trig Values on the Unit Circle
1 1 45o 45o 1 1 45o 45o 225o 315o
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Trig Values on the Unit Circle
1 𝟑 𝟐 60o 𝟏 𝟐
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Trig Values on the Unit Circle
1 1 1 1 60o 60o 60o 60o 60o 240o 300o
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Completing the Unit Circle
Know the patterns for 45’s Know the patterns for 60’s Know the SIGNS (cosine – x, sine – y)
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Completing the Table Know the Unit Circle (sines and cosines)
Find Tangent (y/x = sine/cosine) Know Reciprocals
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Assignment 1) Complete Unit Circle 2) Complete Table Practice more than once Downloadable on Blog
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