find the nearest two positive coterminal angles and the nearest two negative coterminal angles for 420°

Positive Coterminal Angles = 60°,780°

Negative Coterminal Angles = - 300°, - 660°

Step-by-step explanation:

Positive Coterminal Angles:

To find nearest two coterminal angle of 420°:

1) Subtract 360° from 420°:

420° - 360° = 60° (First Positive Coterminal Angle)

2) Add 360° to 420°:

420° + 360° = 780° (Second Positive Coterminal Angle)

Negative Coterminal angles:

To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.

1) Substract 360° from 420°

420° - 360° = 60°

Which is still a positive value.

2) Again Substract 360° from 60°

60° - 360° = - 300° (First Negative Coterminal Angle)

3) Subtract 360° from - 300°

-300° - 360° = - 660° (Second Negative Coterminal Angle)