Coterminal Angles - Positive and Negative, Converting Degrees to Radians, Unit Circle, Trigonometry | Summary and Q&A

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November 8, 2016

Coterminal Angles - Positive and Negative, Converting Degrees to Radians, Unit Circle, Trigonometry

TL;DR

Learn how to find positive and negative coterminal angles in degrees and radians.

🔺 Coterminal angles land on the same point on a graph but may differ in their values.
🪜 Positive coterminal angles are obtained by adding a full revolution (360 degrees or 2π radians).
❎ Negative coterminal angles are obtained by subtracting a full revolution (360 degrees or 2π radians).
🧑‍🏭 Conversion between degrees and radians involves using the appropriate conversion factors (π/180 and 180/π).
🔺 Coterminal angles can be found for both positive and negative original angles.
🔺 Understanding coterminal angles is essential for accurately representing angles in trigonometric functions.
🙃 Coterminal angles can appear in different quadrants on a graph but share the same initial and terminal sides.

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Coterminal angles are angles that have the same initial and terminal sides on a graph but differ in their values.

To find positive coterminal angles, add 360 degrees (or 2π radians) to the given angle.

To find negative coterminal angles, subtract 360 degrees (or 2π radians) from the given angle.

To convert degrees to radians, multiply the degree measure by π/180.

To convert radians to degrees, multiply the radian measure by 180/π.

Coterminal angles are angles that exist at the same spot on a graph but have different values.
To find positive coterminal angles, add 360 degrees (or 2π radians). To find negative coterminal angles, subtract 360 degrees (or 2π radians).
Conversion between degrees and radians involves multiplying or dividing by the appropriate conversion factor.