Calculating Reference Angles
Completion requirements
Key Lesson Marker |
Calculating Reference Angles
To determine the reference angle of any angle in standard position, first determine the quadrant where the angle terminates, then use the appropriate formula.
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Quadrant I
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Quadrant III
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| \(\theta_R = \theta\) | \(\theta_R = \theta - 180^\circ\) |
| Quadrant II
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Quadrant IV
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| \(\theta_R = 180^\circ - \theta\) | \(\theta_R = 360^\circ - \theta\) |
| \(\theta_R\) represents the reference angle | |
| \(\theta\) represents the angle in standard position |
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