Label the Unit Circle

Every one of the 16 special angles around the unit circle, in one chart — the single most-referenced diagram in every trig course. Tap a numbered point, then tap the word bank term you think matches it.

Tap a numbered point, then tap its matching label in the word bank below.

0 of 16 labeled · 0 mistakes

Word bank

3π/2 (270°) → (0, −1)

5π/4 (225°) → (−√2/2, −√2/2)

2π/3 (120°) → (−1/2, √3/2)

π/3 (60°) → (1/2, √3/2)

7π/6 (210°) → (−√3/2, −1/2)

3π/4 (135°) → (−√2/2, √2/2)

7π/4 (315°) → (√2/2, −√2/2)

5π/3 (300°) → (1/2, −√3/2)

5π/6 (150°) → (−√3/2, 1/2)

π/4 (45°) → (√2/2, √2/2)

π/6 (30°) → (1/2, √3/2)

11π/6 (330°) → (√3/2, −1/2)

4π/3 (240°) → (−1/2, −√3/2)

π/6 (30°) → (√3/2, 1/2)

0 (0°) → (1, 0)

π/2 (90°) → (0, 1)

π/3 (60°) → (√3/2, 1/2)

π (180°) → (−1, 0)

Shuffle & try again

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Study tip

You only ever need to memorize the first-quadrant pattern — (1,0), (√3/2, 1/2), (√2/2, √2/2), (1/2, √3/2), (0,1) — since every other quadrant reuses the exact same three coordinate pairs (1/2, √2/2, √3/2) with signs flipped to match that quadrant. The two included distractors are the classic mistake: swapping the sine and cosine values for 30° and 60°.

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