Trigonometry: Finding the least postive coterminal angle, part1

TL;DR

Learn how to find angles that are coterminal to given angles by adding or subtracting multiples of 360 degrees.

Transcript

okay we're going to find that these positive angle  that's going to be coterminal to the given ones   and we don't want our answers to be the same as  the keeper angles okay and what does it mean to   have coterminal angles well that means whenever  you keep an angle you are facing one direction   right you turn so much and then you end up with  st... Read More

Key Insights

• ⭕ Coterminal angles have the same terminal side when rotated in a unit circle.
• 🪜 To find coterminal angles, add or subtract multiples of 360 degrees.
• 😒 For angles larger than 360 degrees, divide by 360 and use the remainder.

Questions & Answers

Q: What are coterminal angles?

Coterminal angles are angles that have the same terminal side when rotated in a unit circle. They are obtained by adding or subtracting multiples of 360 degrees from a given angle.

Q: How do you find coterminal angles?

To find coterminal angles, add or subtract multiples of 360 degrees until the angle is different from the given angle. For example, to find coterminal angles for 43 degrees, we add 360 degrees to get 403 degrees.

Q: How do you find coterminal angles for angles larger than 360 degrees?

Divide the angle by 360 and use the remainder to find the coterminal angle. For example, for 115 degrees, divide by 360 to get 0 remainder 115. The coterminal angle is 115 degrees.

Q: Can negative angles have coterminal angles?

Yes, negative angles can have coterminal angles. Treat them the same way by adding or subtracting multiples of 360 degrees. For example, for -930 degrees, add 1080 degrees to get 150 degrees as the coterminal angle.

Summary & Key Takeaways

• Coterminal angles are angles that have the same terminal side when rotated in a unit circle.

• To find coterminal angles, add or subtract multiples of 360 degrees until the angle is different from the given angle.

• For angles larger than 360 degrees, divide the angle by 360 and use the remainder to find the coterminal angle.

• Negative angles can be treated the same way by adding or subtracting multiples of 360 degrees.