Reference and Coterminal Angles
standard position
An angle is in _______ ________ if its vertex is located at the origin and one ray is on the positive x-axis.
30°
Find the reference angle of 210 degrees
120°
Name a quadant 2 angle with reference of 60°
150°
Name a quadrant 2 angle with reference angle of 30°
135
Name a quadrant 2 angle with reference angle of 45°
225°
Name a quadrant 3 angle with reference angle 45°
210°
Name a quadrant 3 angle with reference angle of 30°
330°
Name a quadrant 4 angle with reference angle of 30°
315°
Name a quadrant 4 angle with reference of 45°
300°
Name a quadrant 4 angle with reference of 60°
-10°
Name an angle -360⁰≤θ≤0⁰ coterminal to -370°
-250°
Name an angle -360⁰≤θ≤0⁰ coterminal to 110 degrees
-237°
Name an angle -360⁰≤θ≤0⁰ coterminal to 123°
-200°
Name an angle -360⁰≤θ≤0⁰ coterminal to 160 degrees
-265°
Name an angle -360⁰≤θ≤0⁰ coterminal to 455°
-305°
Name an angle -360⁰≤θ≤0⁰ coterminal to 775°
-283°
Name an angle -360⁰≤θ≤0⁰ coterminal to 77°
-437°
Name an angle -720⁰≤θ≤-360⁰ coterminal to -77°
260°
Name an angle 0⁰≤θ≤360⁰ coterminal to -100 degrees
240°
Name an angle 0⁰≤θ≤360⁰ coterminal to -120°
77°
Name an angle 0⁰≤θ≤360⁰ coterminal to -283°
348°
Name an angle 0⁰≤θ≤360⁰ coterminal to -372°
265°
Name an angle 0⁰≤θ≤360⁰ coterminal to -95°
280°
Name an angle 0⁰≤θ≤360⁰ coterminal to 1000°
95°
Name an angle 0⁰≤θ≤360⁰ coterminal to 455°
55°
Name an angle 0⁰≤θ≤360⁰ coterminal to 775°
440°
Name an angle 360⁰≤θ≤720⁰ coterminal to 80 degrees
78°
Name the reference angle for -102°
24°
Name the reference angle for -156°
40°
Name the reference angle for -400°
27°
Name the reference angle for 153°
16°
Name the reference angle for 16°
1°
Name the reference angle for 181°
53°
Name the reference angle for 233°
66°
Name the reference angle for 294°
15°
Name the reference angle for 885°
84°
Name the reference angle for 96°
clockwise
The direction the ray rotates if the measurement of the angle is negative.
Counterclockwise
The direction the ray rotates if the measurement of the angle is positive
initial side
The ray on the x-axis of an angle in standard position.
terminal side
The ray that rotates in an angle in standard position.
Quadrantal angle
Type of angle if the terminal side of an angle lies on the axis (like a 90 or 180 degree angle).
45°
What is reference angle for 225°?
80°
What is the reference angle for -100°?
75°
What is the reference angle for -285°?
70°
What is the reference angle for 110°?
35°
What is the reference angle for 145°?
20°
What is the reference angle for 200°?
50°
What is the reference angle for 230°?
60°
What is the reference angle for 240°?
38°
What is the reference angle for 322°?
59°
What is the reference angle for 59°?
1
What quadrant is -322°?
3
What quadrant is -510°?
4
What quadrant is 275°?
2
What quadrant is 510°?
reference angle
an acute angle formed by the terminal side of the given angle and the x-axis.
coterminal angles
two angles that have the same terminal side.