Unit Circle Visualization
Angle: 0°
sin θ: 0
cos θ: 1
tan θ: 0
💡 Understanding the Unit Circle
The unit circle has radius 1. Any point on the circle is at (cos θ, sin θ). The x-coordinate gives cos θ, and the y-coordinate gives sin θ. Drag the point or use the slider to explore!
Trigonometric Graphs
📊 Graph Transformations
Amplitude controls the height of the wave. Phase shift moves the graph left or right. Notice how the current angle is marked on both graphs!
Right Triangle (SOH-CAH-TOA)
Opposite: 0
Adjacent: 1
Hypotenuse: 1 (unit circle)
sin θ = O/H: 0/1 = 0
cos θ = A/H: 1/1 = 1
tan θ = O/A: 0/1 = 0
📐 SOH-CAH-TOA Connection
This triangle is formed by the angle in the unit circle. Sin = Opposite/Hypotenuse, Cos = Adjacent/Hypotenuse, Tan = Opposite/Adjacent. All measurements sync with the unit circle above!
Practice Problems
Click "New Problem" to start!
💭 Hint:
Your Answer:
Type using keyboard below...
📊 Learning Analytics - Action Log
t=0s
🚀 Interactive session started