Start with the key angles: 0°, 30°, 45°, 60°, 90°
Memorize the first quadrant coordinates: (1, 0), (√3/2, 1/2), (√2/2, √2/2), (1/2, √3/2), (0, 1)
Use the pattern for sine: 0, 1/2, √2/2, √3/2, 1
Use the pattern for cosine: 1, √3/2, √2/2, 1/2, 0
Remember that x-values are cosine and y-values are sine
Reflect the first quadrant points into the other quadrants
Use ASTC to remember signs: All, Sine, Tangent, Cosine
Keep the reference angles the same in every quadrant
Practice drawing the circle from memory
Repeatedly write the unit circle until it becomes automatic
Use flashcards for angles and coordinates
Memorize radians alongside degrees
Group special angles together: 0, π/6, π/4, π/3, π/2
Learn the symmetry of the circle
Check each point by its distance from the origin being 1
Use mnemonics for the quadrant signs
Drill the circle in both clockwise and counterclockwise order