How to find the smallest positive and negative coterminal angles

The video tutorial explains coterminal angles, focusing on their initial and terminal sides. It demonstrates how to graph the angle 5π/6 and find coterminal angles by adding or subtracting 2π. The tutorial covers both positive and negative directions, emphasizing the importance of understanding fractions and their role in determining coterminal angles. The video also provides methods to calculate these angles using different approaches, ensuring a comprehensive understanding of the concept.

What is the position of 5π/6 on the unit circle relative to π?

• Greater than π

• Greater than 2π

• Less than π

• Equal to π

What is the sum of an angle and its coterminal angle in radians?

• π

• 2π

• 4π

• 3π

How can 2π be expressed with a denominator of 6?

• 6π/6

• 12π/6

• 14π/6

• 10π/6

What is the negative coterminal angle of 5π/6?

• -5π/6

• -7π/6

• -13π/6

• -11π/6

What is the positive coterminal angle of 5π/6 after adding 2π?

• 13π/6

• 11π/6

• 15π/6

• 17π/6

What is the best way to find coterminal angles?

• Add or subtract π

• Add or subtract 2π

• Multiply by 2π

• Divide by 2π

Why is it important to show your work when finding coterminal angles?

• To avoid mistakes

• To make it look complex

• To confuse others

• To ensure accuracy