Unit Circle Worksheet

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Math 140: Calculus with Analytic Geometry I. Spring 2013. Penn State University. Sections 7, 9, 16. Unit Circle Worksheet. On the two triangles below, label each ...
Math 140: Calculus with Analytic Geometry I

Spring 2013 Sections 7, 9, 16

Penn State University

Unit Circle Worksheet On the two triangles below, label each side with its length. Using this information, label each point on the unit circle with its x and y coordinates. Each line drawn on the circle is labeled with the angle (in radians) it makes with the positive x-axis.

(0, 1)

π 4

1

3π 4

π 2

2π 3

π 3

π 4

5π 6

π 4

π 6

π π 6

7π 6

1

(1, 0)

0 11π 6 5π 4

4π 3

5π 3

3π 2

π 3

7π 4

Use your labeled unit circle from above to complete the following chart: θ

0

π 6

π 4

π 3

π 2

cos(θ)

1

0

sin(θ)

0

1

tan(θ)

0

-

2π 3

3π 4

5π 6

π

7π 6

5π 4

4π 3

3π 2

5π 3

7π 4

11π 6

c 2011 David P. Little