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7.3 Trig. Functions on the Unit Circle

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7.3 CONT. T RIG F UNCTIONS ON THE U NIT C IRCLE Objectives: Graph an angle from a special triangle Evaluate sine, cosine and tangent from a graph Discover Unit Circle Vocabulary: standard position, sine, cosine, tangent, unit circle

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What is the Unit Circle? A perfect circle, centered at the origin (0,0) Used to find the trigonometric ratios of any angle that has a reference angle of 30, 45 or 60.

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Filling out unit circle Activity! Cut out and label your 45-45-90 and 30-60-90 triangles with their corresponding lengths ON BOTH SIDES!!!

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The 45-45-90 Triangle

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The 30-60-90 Triangle 30 60

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Filling out unit circle Activity! Cut out and label your 45-45-90 and 30-60-90 triangles with their corresponding lengths ON BOTH SIDES!!! Label the signs of your unit circle quadrants. Use these triangles to find the value of sine, cosine and tangent at each angle’s point of intersection with the unit circle.

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Signs of Trig. Functions on Unit Circle Where are the trig. functions positive? All Sine Tangent Cosine

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Also true for Reciprocal Identities!!!

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Evaluate the Trig. Functions NO CALCULATOR 1 0 Undefined

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Trigonometric Ratios in the Unit Circle 6 December 2010.

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