Understanding Coterminal Angles in Radians

The video tutorial explains how to determine positive and negative coterminal angles for a given angle in radians. It begins with an introduction to coterminal angles and the concept of radians. The tutorial then demonstrates how to sketch angles and convert between radians and degrees. It provides step-by-step instructions for calculating both positive and negative coterminal angles using the formula of adding or subtracting multiples of 2π. The video concludes with an example involving a negative angle, reinforcing the concept of coterminal angles and their calculation.

What is the initial angle in degrees equivalent to π/3 radians?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

How do you find a positive coterminal angle for π/3 radians?

• Add multiples of 2π

• Subtract multiples of 2π

• Subtract multiples of π

• Add multiples of π

What is the positive coterminal angle of π/3 radians?

• 7π/3

• 11π/3

• 9π/3

• 5π/3

How do you find a negative coterminal angle for π/3 radians?

• Subtract multiples of π

• Add multiples of π

• Subtract multiples of 2π

• Add multiples of 2π

What is the negative coterminal angle of π/3 radians?

• -5π/3

• -7π/3

• -11π/3

• -9π/3

What is the general formula for finding coterminal angles?

• θ - k2π

• θ + k2π

• θ + kπ

• θ - kπ

What is the given negative angle in the example?

• -3π/5

• -4π/5

• -5π/5

• -6π/5

What is the positive coterminal angle for -4π/5 radians?

• 6π/5

• 8π/5

• 10π/5

• 12π/5

What is the negative coterminal angle for -4π/5 radians?

• -16π/5

• -10π/5

• -12π/5

• -14π/5

How many complete revolutions are made for the angle -14π/5?

• Four

• Three

• Two

• One