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The Unit Circle

This resource focuses on using the unit circle to determine exact values of trigonometric expressions, particularly in Quadrant I. It involves drawing a circle centered at the origin (0, 0) with a radius of 1. Special triangles (30°, 45°, and 60°) are placed within this quadrant to facilitate calculations. By labeling points and employing the SOHCAHTOA mnemonic, learners can effectively extract the essential sine, cosine, and tangent values. This method is crucial for mastering trigonometric concepts and solving related problems accurately.

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The Unit Circle

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  1. The Unit Circle Quadrant I

  2. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. RememBer • Find the length of the missing side: 1 y 1 1 y y x x x

  3. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. The Unit Circle • Draw a circle whose center at the origin, (0, 0), and has a radius of 1. 1 1 1 1 1

  4. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. Quadrant I • Place Special Triangles into the first quadrant of the Unit Circle then label the points created. ( , ) ( , ) ( , ) 1 ( , ) 1 1 1 60° 45° 30° ( , )

  5. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. SohCah Toa:

  6. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. Critical Angle Table

  7. Aim: Use the unit circle in order to find the exact value of a trigonometric expression. Exact Value The drawing of the Unit Circle (first quadrant) or the table just created can be used to find the exact value of the following trigonometric expression: Find the exact value of

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