Table of contents
- 0. Fundamental Concepts of Algebra3h 29m
- 1. Equations and Inequalities3h 27m
- 2. Graphs1h 43m
- 3. Functions & Graphs2h 17m
- 4. Polynomial Functions1h 54m
- 5. Rational Functions1h 23m
- 6. Exponential and Logarithmic Functions2h 28m
- 7. Measuring Angles40m
- 8. Trigonometric Functions on Right Triangles2h 5m
- 9. Unit Circle1h 19m
- 10. Graphing Trigonometric Functions1h 19m
- 11. Inverse Trigonometric Functions and Basic Trig Equations1h 41m
- 12. Trigonometric Identities 2h 34m
- 13. Non-Right Triangles1h 38m
- 14. Vectors2h 25m
- 15. Polar Equations2h 5m
- 16. Parametric Equations1h 6m
- 17. Graphing Complex Numbers1h 7m
- 18. Systems of Equations and Matrices3h 6m
- 19. Conic Sections2h 36m
- 20. Sequences, Series & Induction1h 15m
- 21. Combinatorics and Probability1h 45m
- 22. Limits & Continuity1h 49m
- 23. Intro to Derivatives & Area Under the Curve2h 9m
9. Unit Circle
Reference Angles
Struggling with Precalculus?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Identify the reference angle of each given angle.
120°
A
30°
B
45°
C
60°

1
To find the reference angle for any given angle, first determine which quadrant the angle is in. Reference angles are always measured from the x-axis.
For an angle of 120°, it is in the second quadrant. The reference angle is found by subtracting the angle from 180°. So, the reference angle is 180° - 120°.
For an angle of 30°, it is in the first quadrant. The reference angle is the angle itself, as angles in the first quadrant are their own reference angles.
For an angle of 45°, it is also in the first quadrant. Similarly, the reference angle is the angle itself.
Thus, the reference angles for 120°, 30°, and 45° are 60°, 30°, and 45° respectively.
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Master Reference Angles on the Unit Circle with a bite sized video explanation from Patrick
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