Sine and Cosecant Functions (Special Property)
- Author:
- Tim Brzezinski
Suppose is an angle drawn in standard position. Let P(x, y) be any point in the coordinate plane and let r = the distance from P to the origin.
Recall and .
Interact with the applet below for a minute or two. Then answer the questions that follow.
(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 ?