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
2:36 minutes
Problem 36
Textbook Question
Textbook QuestionConvert each radian measure to degrees. See Examples 2(a) and 2(b). ―8π/5
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.
Radian Measure
Radian measure is a way of measuring angles based on the radius of a circle. One radian is the angle formed when the arc length is equal to the radius of the circle. It is a fundamental unit in trigonometry, where angles are often expressed in radians rather than degrees, especially in calculus and higher mathematics.
Recommended video:
5:04
Converting between Degrees & Radians
Degree Measure
Degree measure is another way to express angles, where a full circle is divided into 360 equal parts, known as degrees. Each degree can be further divided into minutes and seconds. The conversion between radians and degrees is essential for solving trigonometric problems, as different contexts may require one unit over the other.
Recommended video:
5:04
Converting between Degrees & Radians
Conversion Formula
To convert radians to degrees, the formula used is: degrees = radians × (180/π). This formula arises from the relationship between the two units, where π radians correspond to 180 degrees. Understanding this conversion is crucial for accurately interpreting and solving problems involving angular measurements.
Recommended video:
6:36
Quadratic Formula
Watch next
Master Converting between Degrees & Radians with a bite sized video explanation from Patrick Ford
Start learningRelated Videos
Related Practice