Converting Degrees to Radians and Understanding Quadrantal Angles

Dec 21, 2025

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Learn how to convert between degrees and radians using the formula: multiply by π/180. Explore quadrantal angles and co-terminal angles, which share the same terminal side positioned on the x-axis. Additionally, discover how to find angles with the same terminal side by using the formula: θ + 360n, where n is an integer. This guide covers the relationships between various angle families, including the 30-degree, 45-degree, and 60-degree families in both degrees and radians. Check the assignments for practice problems.

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Converting Degrees to Radians and Understanding Quadrantal Angles

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To convert from degrees to radians by π 180 multiply To convert from radians to degrees π 180 multiply by:
Quadrantal Angles Co-Terminal Angles have the same terminal side. terminal side is on the x-axis In degrees, angles with the same terminal side can be found using: = θ + 360n n = integer