ClipArt ETC
Axes showing trigonometric angles, and quadrants.

Trigonometric Angles and Quadrants

Axes showing trigonometric angles, and quadrants.

Trigonometric angle -229 degrees.

-229 Degree Trigonometric Angle

Trigonometric angle -229 degrees.

Trigonometric angle 467 degrees.

467 Degree Trigonometric Angle

Trigonometric angle 467 degrees.

Negative trigonometric angle with initial and terminal sides labeled.

Negative Trigonometric Angle

Negative trigonometric angle with initial and terminal sides labeled.

Positive trigonometric angle with initial and terminal sides labeled.

Positive Trigonometric Angle

Positive trigonometric angle with initial and terminal sides labeled.

Angles used to illustrate the sum and difference of two angles and trig identities.

Angles Used to Illustrate Sum and Difference of Two Angles

Angles used to illustrate the sum and difference of two angles and trig identities.

Coordinate axis with angle XOP equal to theta, Θ, and angle XOQ=180 - Θ. From any point in the terminal side of XOP, as B, a perpendicular can be drawn, AB, to the x-axis; and from D, any point in the terminal side o f XOQ, perpendicular CD can be drawn to the x-axis. The right triangles OAB and OCD are similar. Also, OA, AB, OB, CD, and OD are positive, while OC is negative.

Coordinate Axis With Angles, Lines, and Perpendiculars Drawn

Coordinate axis with angle XOP equal to theta, Θ, and angle XOQ=180 - Θ. From any point in the terminal…

Angle XOP=Θ and angle XOQ=- Θ. From a point in the terminal side of each a perpendicular line is drawn to the x-axis. The right triangles OAB and OAC thus formed are similar, and have all their sides positive except AC, which is negative.

Coordinate Axis With Perpendiculars Drawn To Form Similar Right Triangles From Positive and Negative Theta, Θ

Angle XOP=Θ and angle XOQ=- Θ. From a point in the terminal side of each a perpendicular line is drawn…

Angle XOP=Θ and angle XOQ=90+Θ. From a point in the terminal side of each a perpendicular line is drawn to the x-axis. The right triangles AOB and OCD thus formed are similar, and have all their sides positive except OC

Coordinate Axis With Perpendiculars Drawn To Form Similar Right Triangles

Angle XOP=Θ and angle XOQ=90+Θ. From a point in the terminal side of each a perpendicular line is…

Illustration showing coterminal angles of 0° and -360°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

0° and -360° Coterminal Angles

Illustration showing coterminal angles of 0° and -360°. Coterminal angles are angles drawn in…

Illustration showing coterminal angles of 0° and -360°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

0° and -360° Coterminal Angles

Illustration showing coterminal angles of 0° and -360°. Coterminal angles are angles drawn in…

Illustration showing coterminal angles of 0° and -360°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

0° and -360° Coterminal Angles

Illustration showing coterminal angles of 0° and -360°. Coterminal angles are angles drawn in…

Illustration showing coterminal angles of 0° and -360°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

0° and -360° Coterminal Angles

Illustration showing coterminal angles of 0° and -360°. Coterminal angles are angles drawn in…

Illustration showing coterminal angles of 10° and -350°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

10° and -350° Coterminal Angles

Illustration showing coterminal angles of 10° and -350°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 10° and -350°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

10° and -350° Coterminal Angles

Illustration showing coterminal angles of 10° and -350°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 10° and -350°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

10° and -350° Coterminal Angles

Illustration showing coterminal angles of 10° and -350°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 10° and -350°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

10° and -350° Coterminal Angles

Illustration showing coterminal angles of 10° and -350°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 100° and -260°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

100° and -260° Coterminal Angles

Illustration showing coterminal angles of 100° and -260°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 100° and -260°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

100° and -260° Coterminal Angles

Illustration showing coterminal angles of 100° and -260°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 100° and -260°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

100° and -260° Coterminal Angles

Illustration showing coterminal angles of 100° and -260°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 100° and -260°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

100° and -260° Coterminal Angles

Illustration showing coterminal angles of 100° and -260°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 105° and -255°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

105° and -255° Coterminal Angles

Illustration showing coterminal angles of 105° and -255°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 105° and -255°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

105° and -255° Coterminal Angles

Illustration showing coterminal angles of 105° and -255°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 105° and -255°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

105° and -255° Coterminal Angles

Illustration showing coterminal angles of 105° and -255°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 105° and -255°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

105° and -255° Coterminal Angles

Illustration showing coterminal angles of 105° and -255°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 110° and -250°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

110° and -250° Coterminal Angles

Illustration showing coterminal angles of 110° and -250°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 110° and -250°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

110° and -250° Coterminal Angles

Illustration showing coterminal angles of 110° and -250°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 110° and -250°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

110° and -250° Coterminal Angles

Illustration showing coterminal angles of 110° and -250°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 110° and -250°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

110° and -250° Coterminal Angles

Illustration showing coterminal angles of 110° and -250°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 115° and -245°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

115° and -245° Coterminal Angles

Illustration showing coterminal angles of 115° and -245°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 115° and -245°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

115° and -245° Coterminal Angles

Illustration showing coterminal angles of 115° and -245°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 115° and -245°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

115° and -245° Coterminal Angles

Illustration showing coterminal angles of 115° and -245°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 115° and -245°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

115° and -245° Coterminal Angles

Illustration showing coterminal angles of 115° and -245°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 120° and -240°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

120° and -240° Coterminal Angles

Illustration showing coterminal angles of 120° and -240°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 120° and -240°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

120° and -240° Coterminal Angles

Illustration showing coterminal angles of 120° and -240°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 120° and -240°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

120° and -240° Coterminal Angles

Illustration showing coterminal angles of 120° and -240°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 120° and -240°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

120° and -240° Coterminal Angles

Illustration showing coterminal angles of 120° and -240°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 125° and -235°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

125° and -235° Coterminal Angles

Illustration showing coterminal angles of 125° and -235°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 125° and -235°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

125° and -235° Coterminal Angles

Illustration showing coterminal angles of 125° and -235°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 125° and -235°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

125° and -235° Coterminal Angles

Illustration showing coterminal angles of 125° and -235°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 125° and -235°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

125° and -235° Coterminal Angles

Illustration showing coterminal angles of 125° and -235°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 130° and -230°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

130° and -230° Coterminal Angles

Illustration showing coterminal angles of 130° and -230°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 130° and -230°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

130° and -230° Coterminal Angles

Illustration showing coterminal angles of 130° and -230°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 130° and -230°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

130° and -230° Coterminal Angles

Illustration showing coterminal angles of 130° and -230°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 130° and -230°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

130° and -230° Coterminal Angles

Illustration showing coterminal angles of 130° and -230°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 135° and -225°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

135° and -225° Coterminal Angles

Illustration showing coterminal angles of 135° and -225°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 135° and -225°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

135° and -225° Coterminal Angles

Illustration showing coterminal angles of 135° and -225°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 135° and -225°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

135° and -225° Coterminal Angles

Illustration showing coterminal angles of 135° and -225°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 135° and -225°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

135° and -225° Coterminal Angles

Illustration showing coterminal angles of 135° and -225°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 140° and -220°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

140° and -220° Coterminal Angles

Illustration showing coterminal angles of 140° and -220°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 140° and -220°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

140° and -220° Coterminal Angles

Illustration showing coterminal angles of 140° and -220°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 140° and -220°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

140° and -220° Coterminal Angles

Illustration showing coterminal angles of 140° and -220°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 140° and -220°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

140° and -220° Coterminal Angles

Illustration showing coterminal angles of 140° and -220°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 145° and -215°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

145° and -215° Coterminal Angles

Illustration showing coterminal angles of 145° and -215°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 145° and -215°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

145° and -215° Coterminal Angles

Illustration showing coterminal angles of 145° and -215°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 145° and -215°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

145° and -215° Coterminal Angles

Illustration showing coterminal angles of 145° and -215°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 145° and -215°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the positive angle is labeled with the proper degree measure.

145° and -215° Coterminal Angles

Illustration showing coterminal angles of 145° and -215°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 15° and -345°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, both angles are labeled with the proper degree measure.

15° and -345° Coterminal Angles

Illustration showing coterminal angles of 15° and -345°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 15° and -345°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, neither angle is labeled.

15° and -345° Coterminal Angles

Illustration showing coterminal angles of 15° and -345°. Coterminal angles are angles drawn…

Illustration showing coterminal angles of 15° and -345°. Coterminal angles are angles drawn in standard position that have a common terminal side. In this illustration, only the negative angle is labeled with the proper degree measure.

15° and -345° Coterminal Angles

Illustration showing coterminal angles of 15° and -345°. Coterminal angles are angles drawn…