Chapter 12.1, Problem 18OE

To determine

To determine the quadrant of given angle.

Answer to Problem 18OE

The given angle is in II quadrant.

Explanation of Solution

Given information :

  ${500}^{\circ }$

The given angle is more than ${360}^{\circ }$ . This means the angle has covered whole circle and then again started from the starting point.

In such cases when angles are more than ${360}^{\circ }$ , to determine quadrant we subtract ${360}^{\circ }$ from the given angle, till it becomes less than ${360}^{\circ }$ .

Hence we get,

  ${500}^{\circ }-{360}^{\circ }={140}^{\circ }$

Angles between ${90}^{\circ }$ and ${180}^{\circ }$ lies in II quadrant.

Hence the angle lies in II quadrant.