#The Unit Circle: Your Trigonometry Secret Weapon 🚀

Hey there, future math master! Let's dive into the unit circle – your best friend for tackling those tricky trig questions on the SAT. Think of it as a visual cheat sheet that unlocks a world of understanding. This guide is designed to be your go-to resource the night before the exam, so let's make every minute count!

#Unit Circle Basics

#What is the Unit Circle?

• A circle with a radius of 1 unit, centered at the origin (0, 0). It’s your visual playground for angles and trig functions.
• Angles are measured in radians (full circle = 2π) or degrees (full circle = 360°).
• We always start measuring angles counterclockwise from the positive x-axis.
• The coordinates of any point on the circle are given by (cos(θ), sin(θ)), where θ is the angle.
• The unit circle's equation, $$x^2 + y^2 = 1$$, comes straight from the Pythagorean theorem. 💡

#Angle-Coordinate Relationship

• The angle's initial side is always on the positive x-axis.
• The terminal side is where the angle measurement stops.
• The x-coordinate of the point where the terminal side intersects the circle is equal to cos(θ).
• The y-coordinate of the point where the terminal side intersects the circle is equal to sin(θ).
• For example, a 90° (or π/2 radians) angle puts you at the point (0, 1).

#Sine, Cosine, and Tangent Values

#Common An...