Chapter 14.4, Problem 1WE

To determine

To find: Another name for $R_{0,80}$ .

Answer to Problem 1WE

Another name for $R_{0,80}$ is $R_{0,-280}$ .

Explanation of Solution

Given information :

For counter-clockwise rotation of point O through ${80}^o$ represent as $R_{0,80}$ .

Concept used:

A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.

As per the given problem

For counter-clockwise rotation of point O through ${80}^o$ represent as $R_{0,80}$ .

  

Because rotation for one whole circle is rotation for 360°. So, instead rotation of 80° counter-clockwise, we can use rotation of 280° clockwise.

  $\Rightarrow R_{0,80}=R_{0,80-360}=R_{0,-280}$

Hence,

Another name for $R_{0,80}$ is $R_{0,-280}$ .