Understanding Coterminal Angles

The video tutorial explains how to find coterminal angles between 0 and 360 degrees for given negative angles. It demonstrates the process using two examples: -523 degrees and -2469 degrees. For -523 degrees, the tutorial shows how to add multiples of 360 to find a coterminal angle of 197 degrees. For -2469 degrees, it uses Desmos to find a coterminal angle of 51 degrees by adjusting a slider for different values of k.

What is the main goal when finding a coterminal angle between 0 and 360 degrees?

• To find an angle that is a multiple of 360 degrees

• To find an angle that is negative

• To find an angle that is exactly 360 degrees

• To find an angle that shares the same terminal side

What is the result when k=1 for the angle -523 degrees?

• 197 degrees

• 360 degrees

• 523 degrees

• -163 degrees

Why do we add multiples of 360 degrees to find coterminal angles?

• To find an equivalent angle

• To adjust the angle's size

• To change the angle's direction

• To keep the angle within a specific range

What tool is introduced to help find coterminal angles for -2469 degrees?

• Protractor

• Calculator

• Graph paper

• Desmos.com

What is the purpose of using a slider in Desmos.com?

• To visualize the angle

• To change the angle's direction

• To adjust the angle's size

• To find the correct value of k

What is the coterminal angle found for -2469 degrees when k=7?

• 360 degrees

• 51 degrees

• 523 degrees

• 197 degrees

What is the expression used to find coterminal angles for -2469 degrees?

• 2469 + 360k

• 2469 - 360k

• -2469 - 360k

• -2469 + 360k

Tags

CCSS.HSG.SRT.C.8

What is the significance of the interval from 0 to 20 for k in Desmos.com?

• It helps find a coterminal angle between 0 and 360 degrees

• It simplifies the calculation

• It limits the number of angles calculated

• It ensures k is an integer

What is the final step after finding the coterminal angle using Desmos.com?

• Verify the angle with a calculator

• Record the answer and show the work

• Adjust the slider for more angles

• Recalculate using a different method

What is the main challenge in finding coterminal angles for -2469 degrees?

• Using the wrong tool

• The angle is too large

• The angle is negative

• Finding the correct value of k