# Cosine and Secant Functions (Special Property)

- Author:
- Tim Brzezinski

- Topic:
- Cosine, Functions, Trigonometric Functions

Suppose is an angle drawn in standard position.

**Let**, and*P*(*x*,*y*) = any point in the coordinate plane**If this is the case, recall and . Interact with the applet below for a minute or two. Then answer the questions that follow.***r*= distance from point*P*to the origin.**(Be sure to move point***P*to various locations!)## 1.

Regardless of where **point P** lies, what relationship can you write about the ratios and ?

## 2.

Regardless of where **point P** lies, what relationship can you write about the ratios and ?