# BC Calculus: Tangent-Secant Worksheet §2.1

• Class: 5H: BC Calculus
• Author: Peter Atlas
• Text: Calculus Finney, Demana, Waits, Kennedy

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?