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

Trigonometry

1. Measuring Angles

Radians

Problem 11

Textbook Question

Convert each degree measure to radians. Leave answers as multiples of π. See Examples 1(a) and 1(b). 60°

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Key Concepts

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

Degree and Radian Measures

Degrees and radians 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 degrees to radians and vice versa.

Conversion Formula

To convert degrees to radians, the formula used is: radians = degrees × (π/180). This formula allows for the straightforward conversion of any angle measured in degrees into its corresponding radian measure, facilitating calculations in trigonometry.

Multiples of π

When expressing angles in radians, it is common to leave the answer as a multiple of π. This means that instead of providing a decimal approximation, the angle is expressed in terms of π, which maintains precision and is often required in trigonometric contexts.