Determine the measure of an angle between 0 & 360 degrees coterminal each given angle. Sketch the angles with angles in the Cartesian plane. 1.) -180° 2.) -356° 3.) 575° 4.) 285° 5.) 468°
Determine the measure of an angle between 0 & 360 degrees coterminal each given angle. Sketch the angles with angles in the Cartesian plane.
1.) -180°
2.) -356°
3.) 575°
4.) 285°
5.) 468°
1.) -180° and 180° are coterminal. Sketch: angle between the positive x-axis and the negative y-axis, forming a line that intersects the origin.
2.) -356° and 404° are coterminal. Sketch: angle that starts at the positive x-axis and rotates counterclockwise about the origin to the point (0, 1).
3.) 575° and 315° are coterminal. Sketch: angle that starts at the positive x-axis and rotates counterclockwise about the origin to the point (-1, 0).
4.) 285° and 285° are coterminal. Sketch: angle that starts at the positive x-axis and rotates counterclockwise about the origin to the point (-1, -1).
5.) 468° and 148° are coterminal. Sketch: angle that starts at the positive x-axis and rotates counterclockwise about the origin to the point (1, -1).
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Answer:
Determine the measure of an angle between 0 & 360 degrees coterminal each given angle. Sketch the angles with angles in the Cartesian plane.
1.) -180°
2.) -356°
3.) 575°
4.) 285°
5.) 468°
1.) -180° and 180° are coterminal. Sketch: angle between the positive x-axis and the negative y-axis, forming a line that intersects the origin.
2.) -356° and 404° are coterminal. Sketch: angle that starts at the positive x-axis and rotates counterclockwise about the origin to the point (0, 1).
3.) 575° and 315° are coterminal. Sketch: angle that starts at the positive x-axis and rotates counterclockwise about the origin to the point (-1, 0).
4.) 285° and 285° are coterminal. Sketch: angle that starts at the positive x-axis and rotates counterclockwise about the origin to the point (-1, -1).
5.) 468° and 148° are coterminal. Sketch: angle that starts at the positive x-axis and rotates counterclockwise about the origin to the point (1, -1).