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ATARMAxxing · SACE Specialist Mathematics revision notes

Trigonometric parameterisations and circular motion

Trigonometric parameterisations and circular motion
Topic 6: Rates of change and differential equations · Subtopic 6.5: Trigonometric parameterisations

What this note covers

  1. Circular path
  2. Constant speed
  3. Ellipse
  4. Helix
  5. Arc length of a helix
  6. Phase and starting point
  7. Circular motion and phase: position, velocity, acceleration and arcs
  8. Ellipse versus helix: speed variation, tangent vectors and exact length

8 sections · 10 key terms & formulas · 6 common mistakes

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