Sine and Cosine Function Values
Henry Lee
7 min read
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Study Guide Overview
This study guide covers the unit circle, focusing on its definition, angle measurements (radians and degrees), and trigonometric functions (sine, cosine, tangent). It explains positive and negative angles, multiple revolutions, and using the unit circle to find trigonometric values. The ASTC rule for determining the sign of trigonometric functions in different quadrants is also covered. Finally, the guide provides practice questions and tips for the exam.
#The Unit Circle: Your Ultimate Guide 🧭
Hey there, future AP Pre-Calculus master! Let's dive into the unit circle – your secret weapon for acing the exam. This guide is designed to be your go-to resource, especially the night before the test. No stress, just clear explanations and smart tips to boost your confidence. Let's get started!
#The Foundation: Understanding the Unit Circle
#What is the Unit Circle?
The unit circle is a circle with a radius of 1, centered at the origin (0,0) on the coordinate plane. It's the foundation for understanding trigonometry and beyond. Think of it as your visual cheat sheet for trig functions! 💡
- Radius: Always 1 unit.
- Center: Always at the origin (0,0).
- Key Concept: Connects angles to trigonometric values.
#Angles in Standard Position
An angle in standard position starts from the positive x-axis and goes counterclockwise. This is how we measure angles on the unit circle. Remember, counterclockwise is the standard direction. ⏰
#Navigating the Unit Circle
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Starting Point: The positive x-axis (0 degrees or 0 radians).
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Direction: Counterclockwise for positive angles, clockwise for negative angles.
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Measurements: Angles are shown in both degrees and radians.
#Angles on the Unit Circle
#Measuring Angles
- Radians and Degrees: The unit circle shows ang...
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