ÁNGULOS CUADRANTALES

Understanding Quadrantal Angles

Definition of Quadrantal Angles

• Quadrantal angles are defined as angles in a normal position, where the terminal side aligns with the coordinate axes.

• These angles have a specific characteristic: their terminal side coincides with one of the coordinate axes.

Characteristics of Normal Position

• A normal position angle has its vertex at the origin of coordinates.

• The initial side of a quadrantal angle is always located on the positive X-axis.

Positive Quadrantal Angles

• 0 Degrees: The terminal side overlaps with the positive X-axis, making it a quadrantal angle.

• 90 Degrees: The terminal side aligns with the positive Y-axis, qualifying it as another quadrantal angle.

• 180 Degrees: This angle's terminal side coincides with the negative X-axis, confirming its status as quadrantal.

• 270 Degrees: Here, the terminal side is positioned on the negative Y-axis, also categorizing it as quadrantal.

• 360 Degrees: Similar to 0 degrees, this angle's terminal side aligns again with the positive X-axis and is thus considered quadrantal.

Negative Quadrantal Angles

• Starting from 0 degrees and moving clockwise:

• Negative 90 Degrees: Terminal side coincides with the negative Y-axis; hence it's classified as a quadrantal angle.

• Negative 180 Degrees: Its terminal side aligns with the negative X-axis, marking it as another quadrantal angle.

• Negative 270 Degrees: This angle's terminal side matches up with the positive Y-axis, confirming its classification as quadrantal.

• Negative 360 Degrees: Like its positive counterpart at 360 degrees, this also aligns back to the positive X-axis and is therefore considered quadrantal.