Learning Resources

Outcomes

In this lesson you will

• Determine the central angle when the coordinates of the point where the terminal arm of the angle intersects the circle.
• Find the exact values of the sine and cosine of 30°, 45°, 60°.

By the end of this section you should be able to:

• Demonstrate an understanding of the relationship between angle rotation and the coordinates of a rotating point.
• Solve problems involving the equations and characteristics of circles and ellipses.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

• How to plot points on the unit circle.
• How to use a calculator to find the inverse for the cosine and sine.
• The definition of related angles and how to find them.