Understanding Coterminal Angles

The video tutorial explains how to find coterminal angles between 0 and 2π radians. It covers two examples: 11π/2 and 78π/9 radians. For 11π/2, the process involves adding or subtracting multiples of 2π to find a coterminal angle within the desired range. For 78π/9, a slider tool is used to determine the appropriate value of k, resulting in a coterminal angle of 2π/3. The tutorial emphasizes understanding the concept of coterminal angles and using both algebraic and decimal methods to find them.

What is the range of angles we are looking for when finding a coterminal angle?

• Between 0 and π radians

• Between 0 and 4π radians

• Between 0 and 2π radians

• Between π and 2π radians

How do we find coterminal angles for a given angle in radians?

• By multiplying by 2π

• By dividing by 2π

• By adding or subtracting multiples of π

• By adding or subtracting multiples of 2π

What is the coterminal angle for 11π/2 when k = -2?

• 3π/2

• π/2

• 7π/2

• 5π/2

What is the first step in finding a coterminal angle for 78π/9?

• Convert to degrees

• Use a calculator to find decimals

• Add 2π

• Subtract 2π

What is the approximate decimal value of 2π?

• 12.56

• 3.14

• 6.28

• 9.42

What is the value of k that gives a coterminal angle for 78π/9 between 0 and 2π?

• k = -1

• k = -2

• k = -3

• k = -4

What is the exact coterminal angle for 78π/9 when k = -4?

• 3π/2

• π/2

• 2π/3

• π/3

What is the common factor used to simplify 6π/9?

• 5

• 3

• 2

• 4

What is the simplified form of 6π/9?

• π/2

• 2π/3

• 3π/2

• π/3

What is the purpose of using a slider for k in the calculation?

• To find the minimum angle

• To find the maximum angle

• To find a coterminal angle between 0 and 2π

• To find the exact value of π