# Sine and Cosecant Functions (Special Property)

- Author:
- Tim Brzezinski

Suppose is an angle drawn in standard position.

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

Regardless of where * P* lies, what is the relationship between the values of the ratios and ?

## 2.

Regardless of where * P* lies, what is the relationship between the values of the ratios and ?