Positive angle and negative angle (1)

Positive angles

Angles measured in the anticlockwise direction from the positive x-axis

Negative angles

Angles measured in the clockwise direction from the positive x-axis

Understanding angles in the cartesian plane

In the Cartesian plane, angles can be measured in both positive (counterclockwise) and negative (clockwise) directions from the positive x-axis

Angular direction

Depends on whether the rotation is counterclockwise (positive) or clockwise (negative) from the positive x-axis

Angle measurement

Positive angles measured in degrees or radians counterclockwise and negative angles measured in degrees or radians clockwise

Quadrantal angles (1)

90°, 180°, 270°, and 360°

Coordinate system

Provides a framework for representing points, lines, and angles in a plane using x and y coordinates

Conversion between positive and negative angles

By adding or subtracting multiples of 360° (or 2π radians), maintaining the same terminal side but changing the direction of rotation

Quadrantal angles (2)

Represented as positive or negative angles depending on the direction of rotation

Interpretation in context of positive and negative angles

Interpreting geometric figures, analyzing rotational motion, and solving problems in various fields, including physics, engineering, and mathematics