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Exam Strategy

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Readiness Check

You are ready when you can:

  • State sec/csc/cot definitions and undefined sets.
  • Locate asymptotes from sin/cos zeros.
  • State sec/csc range and cot behavior.
  • Sketch/read reciprocal graphs with precision.

On the AP Exam

  • MCQ: asymptotes, range, undefined values, graph identification.
  • FRQ: describe characteristics with justification (skills 2.B, 3.A).

Tactics

1. Start from sin/cos zeros for asymptotes. 2. For sec/csc range, remember outputs never in (-1, 1). 3. Cot: asymptotes where sin = 0; decreasing between. 4. One-period sketches with dashed asymptotes. 5. Check denominator before numeric evaluation.

Common Traps

  • sec/csc value between -1 and 1.
  • Wrong asymptote angles for cot.
  • Treating cot like tan's increasing shape.
  • Evaluating at sin or cos zero.

Quick Checklist

  • [ ] Definition with restriction
  • [ ] Asymptotes from zeros
  • [ ] Range/behavior stated
  • [ ] Graph matches traits
  • [ ] Undefined points listed

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