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Precalculus Notes on Angles

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These are Precalculus Trigonometry Notes – Section 1.1 covering the basics of angles, ideal for high school and college-level trig courses. Topics include: -Angles in standard position -Initial and terminal sides -Positive vs. negative rotation -Quadrants and quadrant identification -Coterminal angles (with examples and formulas)

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Institution
Saint Louis Community College-Meramec
Course
MTH 170 231

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1.1 ANGLES
Precalculus Trigonometry




Determine Angle of Rotation

Basics of Angle in Standard Position




●​ Initial side:
-​ The initial side always starts on the positive x-axis.




●​ Terminal side:
-​ The terminal side shows where the rotation stops.
●​ The rotation arrow shows direction and how far the angle turns.
●​ The vertex is at the origin.




Types of Rotation

Rotation Direction Type of Angle Example

Counterclockwise ↺ Positive + 90°, 135°

Clockwise ↻ Negative - -180°, -270°




Degrees Circle
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Institution
Saint Louis Community College-Meramec
Course
MTH 170 231

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July 3, 2025
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Written in
2024/2025
Type
Class notes
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Asma zangana
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