Given a negative angle greater than 2pi determine the coterminal angles

The video tutorial explains how to find the smallest positive and negative coterminal angles for a given angle expressed in terms of π. It discusses the importance of using common denominators when adding or subtracting 2π to simplify the angle. The process involves reducing the angle to its smallest form by adding or subtracting full revolutions (2π) without changing the angle's value. The tutorial concludes with a summary of the steps involved in determining coterminal angles.

What is the main challenge when graphing angles with complex denominators?

• They are easier to calculate.

• They are not in terms of π.

• They require more revolutions.

• They are difficult to visualize.

What is the first step in finding the smallest negative coterminal angle?

• Subtract 2π from the angle.

• Divide the angle by 2π.

• Add 2π to the angle.

• Multiply the angle by 2π.

Why is it important to use common denominators when adding 2π?

• To convert the angle to degrees.

• To make the angle positive.

• To ensure the angle remains unchanged.

• To simplify the calculation.

How does adding or subtracting 2π affect an angle?

• It converts the angle to radians.

• It adds or removes revolutions.

• It alters the angle's direction.

• It changes the angle's value.

What is the result of adding 10π/5 to -7π/5?

• 3π/5

• 0

• 17π/5

• 7π/5