Chapter 14.4, Problem 3WE

To determine

To find: Another name for $R_{A,450}$ .

Answer to Problem 3WE

Another name for $R_{A,450}$ is $R_{A,90}$ .

Explanation of Solution

Given information :

For counter-clockwise rotation of point A through ${450}^o$ represent as $R_{A,450}$ .

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 A through ${450}^o$ represent as $R_{A,450}$ .

  

Because rotation for one whole circle is rotation for 360°. So, instead rotation of 450° counter-clockwise, we can use rotation of 90° clockwise.

  $\Rightarrow R_{A,450}=R_{A,450-360}=R_{A,90}$

Hence,

Another name for $R_{A,450}$ is $R_{A,90}$ .