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Additional Mathematics
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Additional Mathematics
Positive angle and negative angle (1)
Additional Mathematics
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Positive angle and negative angle (1)
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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
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