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Exam Strategy

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Readiness Check

You are ready when you can:

  • Write $P=(r\cos\theta, r\sin\theta)$ quickly.
  • Give exact QI values for $\pi/6$, $\pi/4$, $\pi/3$.
  • Adjust signs by quadrant.
  • Handle a non-unit radius without dropping $r$.

On the AP Exam

  • MCQ: exact values; coordinates on a circle; sign by quadrant.
  • FRQ: find $P$ or exact $\sin/\cos$; apply numerically in context (skills 2.A, 3.B).

Tactics

1. Reduce to a related QI reference angle when helpful. 2. Recall absolute values from special triangles. 3. Apply ALL appropriate signs for the quadrant. 4. Multiply by $r$ for coordinates. 5. Box the ordered pair $(\,r\cos\theta,\, r\sin\theta\,)$.

Common Traps

  • Forgetting $r$.
  • Right absolute value, wrong sign.
  • Mixing $\pi/6$ and $\pi/3$ sine/cosine.
  • Degree/radian mode mismatches with technology (prefer exact when asked).

Quick Checklist

  • [ ] Angle location / quadrant clear
  • [ ] Reference absolute values correct
  • [ ] Signs applied
  • [ ] Factor $r$ included for coordinates
  • [ ] Ordered pair in $(\cos,\sin)$ order scaled by $r$

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