BC Calculus: Tangent-Secant Worksheet §2.1




Given the unit circle with PO = 1, answer the following questions:
  1. Express PQ in terms of \(\theta\).
  2. Express QO in terms of \(\theta\).
  3. Relate the lengths QO, AO, QP and AT using a proportion.
  4. Using this proportion, express AT as a function of \(\theta\).
  5. What is the name of the line AT with respect to circle O?
  6. Relate the lengths PO, TO, QO, and AO using a proportion.
  7. Using this proportion, express TO as a function of \(\theta\).
  8. What is the name of the line TO with respect to circle O?