Table of contents

0. Review of College Algebra4h 43m
1. Measuring Angles40m
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

Complementary and Supplementary Angles

Trigonometry

1. Measuring Angles

Complementary and Supplementary Angles

Previous problemNext problem

Problem 3.15

Textbook Question

Convert each radian measure to degrees.

-11π/18

Verified step by step guidance

Understand the relationship between radians and degrees: 1 radian = 180/π degrees.

Multiply the given radian measure by the conversion factor to convert it to degrees.

The given radian measure is $-\frac{11\pi}{18}$.

Multiply $-\frac{11\pi}{18}$ by $\frac{180}{\pi}$ to convert to degrees.

Simplify the expression by canceling out $\pi$ and performing the multiplication.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Play a video:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Radian and Degree Measures

Radians and degrees are two units for measuring angles. A full circle is 360 degrees or 2π radians. To convert between these units, the relationship is established where 180 degrees equals π radians, allowing for straightforward conversions.

Conversion Formula

The conversion from radians to degrees can be performed using the formula: degrees = radians × (180/π). This formula provides a direct method to translate any radian measure into its equivalent degree measure, facilitating easier calculations in trigonometry.

Negative Angles

Negative angles indicate a rotation in the clockwise direction. When converting negative radian measures to degrees, the same conversion formula applies, but the resulting degree measure will also be negative, reflecting the direction of the angle's rotation.