Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles39m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
1. Measuring Angles
Radians
2:43 minutes
Problem 40
Textbook Question
Textbook QuestionIn Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places. -5.2 radians
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above
Video duration:
2mPlay a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Radians and Degrees
Radians and degrees are two units for measuring angles. A full circle is 360 degrees, which is equivalent to 2π radians. Understanding the relationship between these two units is essential for converting angles from one to the other.
Recommended video:
5:04
Converting between Degrees & Radians
Conversion Formula
To convert radians to degrees, you can use the formula: degrees = radians × (180/π). This formula allows you to translate the measure of an angle in radians into its equivalent in degrees, facilitating easier interpretation and application in various contexts.
Recommended video:
6:36
Quadratic Formula
Negative Angles
Negative angles indicate a rotation in the clockwise direction. When converting negative radians to degrees, the same conversion formula applies, but the resulting degree measure will also be negative, reflecting the direction of the angle's rotation.
Recommended video:
3:47
Coterminal Angles
Watch next
Master Converting between Degrees & Radians with a bite sized video explanation from Patrick Ford
Start learningRelated Videos
Related Practice