Chapter 12.2, Problem 51HP

To determine

Draw an angle with the given measure in standard position. Also, find two angles one positive and one negative, that are co − terminal with the angle.

Explanation of Solution

Given: It is given in the question that angle is ${45}^{\circ }$ .

Graph:

  

Interpretation:

Let’s find the co − terminal angle to the angle with measure ${45}^{\circ }$ ,

For positive co terminal angle : ${45}^{\circ }+{360}^{\circ }={405}^{\circ }$

For negative co − terminal angle : ${45}^{\circ }-{360}^{\circ }=-{315}^{\circ }$

In this, use the protractor and place them in the fixed point O and mark an angle that is given in the question in anti clockwise direction i.e. ${45}^{\circ }$ in A and after that draw a line on that marking point A and it is seen in the above that $\alpha ={45}^{\circ }$ .