Determining coterminal angles by adding and subtracting 2pi

The video tutorial explains how to find the smallest positive and negative coterminal angles using the example of 7π/11. It begins by introducing the concept of coterminal angles and the specific angle in question. The tutorial then describes the algebraic method to find these angles by adding and subtracting 2π, ensuring common denominators. Finally, it simplifies the results to find the coterminal angles of 29π/11 and -15π/11.

What is a key characteristic of coterminal angles?

• They have different initial sides.

• They have the same initial and terminal sides.

• They are always negative.

• They are always positive.

What operation is necessary to find the largest positive coterminal angle?

• Subtract π

• Add 2π

• Add π

• Subtract 2π

Why is it important to have common denominators when finding coterminal angles?

• To simplify the process of adding and subtracting angles.

• To convert angles to radians.

• To make the angles positive.

• To ensure the angles are in degrees.

What is the result of adding 2π to 7π/11?

• 22π/11

• 29π/11

• 11π/11

• 15π/11

What is the smallest negative coterminal angle of 7π/11?

• -11π/11

• -29π/11

• -22π/11

• -15π/11