Determine two coterminal angles positive and negative

The video tutorial explains how to determine coterminal angles, both positive and negative. It starts by defining coterminal angles as those sharing the same initial and terminal sides. The tutorial then demonstrates how to find the smallest positive coterminal angle by subtracting 2π from the given angle. Similarly, it explains finding the smallest negative coterminal angle by further subtracting 2π. The video concludes by graphically representing these angles and confirming their coterminality.

What is a coterminal angle?

• An angle that is always equal to 360 degrees

• An angle that is always less than 90 degrees

• An angle that shares the same initial and terminal sides as another angle

• An angle that is always greater than 180 degrees

How do you find the smallest positive coterminal angle for 7π/3?

• Multiply 7π/3 by 2

• Add 2π to 7π/3

• Divide 7π/3 by 2

• Subtract 2π from 7π/3

What is the smallest positive coterminal angle for 7π/3?

• 2π/3

• π/3

• 4π/3

• 5π/3

How do you find the smallest negative coterminal angle?

• Multiply the smallest positive angle by 2

• Divide the smallest positive angle by 2

• Add 2π to the smallest positive angle

• Subtract 2π from the smallest positive angle

What is the smallest negative coterminal angle for 7π/3?

• -4π/3

• -5π/3

• -π/3

• -2π/3