Understanding Coterminal Angles

The video tutorial explains coterminal angles, which are angles that share the same terminal side but differ by full rotations (360 degrees or 2π radians). It provides examples of finding coterminal angles in both degrees and radians, demonstrating how to adjust angles by adding or subtracting 360 degrees or 2π radians to bring them within a specified range. The tutorial includes step-by-step calculations for both positive and negative angles, ensuring a comprehensive understanding of the concept.

What are coterminal angles?

• Angles that have the same measure

• Angles that are always 180 degrees apart

• Angles that land on the same position but have different measures

• Angles that are always 90 degrees apart

If you have an angle of 30 degrees, what is a coterminal angle?

• 390 degrees

• 120 degrees

• 60 degrees

• 90 degrees

How do you find a coterminal angle of 150 degrees?

• Multiply by 2

• Add 90 degrees

• Subtract 180 degrees

• Add or subtract 360 degrees

What is the coterminal angle of 430 degrees within 0 to 360 degrees?

• 110 degrees

• 90 degrees

• 70 degrees

• 150 degrees

If an angle is -150 degrees, what is its coterminal angle between 0 and 360 degrees?

• 150 degrees

• 210 degrees

• 310 degrees

• 360 degrees

What is the coterminal angle of 800 degrees within 0 to 360 degrees?

• 120 degrees

• 200 degrees

• 80 degrees

• 160 degrees

How do you find a coterminal angle in radians?

• Add or subtract π

• Add or subtract 2π

• Divide by 2π

• Multiply by π

What is the coterminal angle of 13π/6 in radians?

• π/6

• 2π/3

• 5π/6

• π

If an angle is -11π/4, what is its coterminal angle in radians?

• 5π/4

• 3π/4

• 7π/4

• π/4

What is the process to find a coterminal angle if the given angle is too high?

• Add 180 degrees

• Subtract 360 degrees

• Add 360 degrees

• Subtract 180 degrees