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6.1.3 Unit Circle, Special Angles. Building the “Unit Circle” For the unit circle, we will look into attempting to define and build the circle in terms.

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Presentation on theme: "6.1.3 Unit Circle, Special Angles. Building the “Unit Circle” For the unit circle, we will look into attempting to define and build the circle in terms."— Presentation transcript:

1 6.1.3 Unit Circle, Special Angles

2 Building the “Unit Circle” For the unit circle, we will look into attempting to define and build the circle in terms of radians We can discover a pattern which will help you easily convert/memorize the patterns

3 Special Triangles; The special triangle is one special triangle which will help us 1-1-√2 ratios What is 45 0 in radians? 90?

4 Special Triangles; The will also help us Same type of relationship 1-2-√3 ratios What is 30 0 in radians? What is 60 0 in radians?

5 Now, we can look at the unit circle as: – 1) A series of triangles – 2) A series of triangles We can split the unit circle into these triangles and triangles

6 Positive/Negative Angle Measures On the unit circle, we can measure a positive or negative angle, depending on the direction of measurement Clockwise = Negative Angle Measure Counter-Clockwise = Positive Angle Measure

7 Example. Find the indicated angle measure.

8

9

10 The Whole Unit Circle

11 Assignment Pg alls

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