Understanding Coterminal Angles

The video tutorial explains how to find coterminal angles between 0 and 360 degrees. It uses two examples: 778 degrees and 10,953 degrees. For 778 degrees, the process involves subtracting multiples of 360 degrees to find a coterminal angle within the desired range. The result is 58 degrees. For 10,953 degrees, the tutorial uses Desmos to adjust the value of K in the expression 10,953 + 360K to find a coterminal angle. The result is 153 degrees. The tutorial emphasizes the use of integer values for K and demonstrates the process of finding coterminal angles using both manual calculation and digital tools.

What is the primary method to find coterminal angles?

• Adding or subtracting multiples of 360 degrees

• Adding or subtracting multiples of 180 degrees

• Dividing by 180 degrees

• Multiplying by 360 degrees

For the angle 778 degrees, what is the result when K is -1?

• 58 degrees

• 778 degrees

• 360 degrees

• 418 degrees

What is the coterminal angle for 778 degrees when K is -2?

• 360 degrees

• 778 degrees

• 58 degrees

• 418 degrees

What tool is suggested for finding coterminal angles of large numbers like 10,953 degrees?

• Graph paper

• Desmos.com

• Protractor

• Calculator

What is the initial value of K when using the slider for 10,953 degrees?

• 1

• -30

• -1

• 0

What is the coterminal angle for 10,953 degrees when K is -30?

• 0 degrees

• 10,800 degrees

• 360 degrees

• 153 degrees

How many multiples of 360 degrees are subtracted from 10,953 degrees to find the coterminal angle?

• 40

• 30

• 10

• 20

What is the final coterminal angle found for 10,953 degrees?

• 153 degrees

• 10,800 degrees

• 360 degrees

• 0 degrees

What is the significance of the value of K in finding coterminal angles?

• It is irrelevant

• It determines the number of degrees to add or subtract

• It is the angle itself

• It is always positive

Why is it necessary to use negative values for K in some cases?

• To make the angle positive

• To keep the angle the same

• To decrease the angle

• To increase the angle