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4 years ago

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

Mathematics

1 answer:

RSB [31]4 years ago

3 0

Answer:

Positive Coterminal Angles = 60°,780°

Negative Coterminal Angles = -300°, -660°

Step-by-step explanation:

<h3>Positive Coterminal Angles:</h3>

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)

<h3>Negative Coterminal angles:</h3>

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)

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