How to Find Positive and Negative Coterminal Angles

TL;DR

To find positive coterminal angles, add 360 degrees (or 2π radians) to the given angle. For negative coterminal angles, subtract 360 degrees (or 2π radians). Coterminal angles occupy the same position on the unit circle but have different angle measurements.

Transcript

today we're going to talk about how to find coterminal angles one positive and one negative in units of radians and degrees so let's say if you have the angle 30 degrees how can you find the coterminal angle here's the quick way of getting the answer you need to add 360 degrees and you need to subtract 360. or take away 360 from 30. so the positive... Read More

Key Insights

• 🔺 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.

Questions & Answers

Q: What are coterminal angles?

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

Q: How do you find positive coterminal angles?

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

Q: How do you find negative coterminal angles?

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

Q: How do you convert degrees to radians?

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

Q: How do you convert radians to degrees?

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

Summary & Key Takeaways

• 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.