Table of contents
- 0. Review of College Algebra(0)
- 1. Measuring Angles(0)
- 2. Trigonometric Functions on Right Triangles(0)
- 3. Unit Circle(0)
- 4. Graphing Trigonometric Functions(0)
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations(0)
- 6. Trigonometric Identities and More Equations(0)
- 7. Non-Right Triangles(0)
- 8. Vectors(0)
- 9. Polar Equations(0)
- 10. Parametric Equations(0)
- 11. Graphing Complex Numbers(0)
3. Unit Circle
Trigonometric Functions on the Unit Circle
3. Unit Circle
Trigonometric Functions on the Unit Circle: Study with Video Lessons, Practice Problems & Examples
9PRACTICE PROBLEM
The circle with a radius of one unit is partitioned into twelve equal arcs, where each arc corresponds to specific t-values. Determine the value of the trigonometric function at the given real number t using the (x,y) coordinates in the diagram or specify that the expression is undefined. Also, find out the value in part b) using even and odd properties of trigonometric functions.
a. cos(4π/3)
b. cos(-4π/3)
The circle with a radius of one unit is partitioned into twelve equal arcs, where each arc corresponds to specific t-values. Determine the value of the trigonometric function at the given real number t using the (x,y) coordinates in the diagram or specify that the expression is undefined. Also, find out the value in part b) using even and odd properties of trigonometric functions.
a. cos(4π/3)
b. cos(-4π/3)