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Unit circle, but also unit intuition.
the shape of this subject
Trig is a language of periodic relationships. Brainback keeps you working with the unit circle in your head until the identities become instinct.
Because trigonometry rewards the students who do the reps — and punishes the ones who outsource them.
Add Trigonometry as a Learn subject and every problem in these areas routes to the Socratic tutor — attempt-first, hint-laddered, output-guarded.
Attempt → correction → guiding question. No answer. Ever. Verbatim from a beta session.
I converted 5π/6 to degrees first…
Is your angle in the second quadrant? Which trig ratio is positive there?
no answer · one guiding question · your next move
the anti-pattern
Answer machines make trigonometry look like a solved problem. It isn't. The exam room reveals whose reasoning was built and whose was rented.
the recall card
Every wrong attempt and low-scored explain-back becomes a card. SM-2 schedules them — the tricky ones come back tomorrow, the solid ones drift out to next week, then next month.
Recall the core concept in your own words. Then apply it to a fresh example under 2 minutes.
The subject where the shortcut has always been most expensive.
Limits, rates, and shapes of change — earned, not delivered.
Where symbolic manipulation becomes second nature — or doesn't.
See the diagram. Not just look at it.
Vectors are directions, not numbers.
The subject where wrong feels right — until Brainback slows you down.
→trigonometry — ready when you are
Attempt-first. Never the answer. Add it as a Learn subject in 30 seconds.