ABSTRACT

FIGURE 6.2 DeÞnitions of angles.

,135Æ

,150Æ

,180Æ

,210Æ

,225Æ

,240Æ

,120Æ

,270Æ

,90Æ

,60Æ

,300Æ

,45Æ

,315Æ

,30Æ

,0Æ ,360Æ

,330Æ

6.1.2.1 Relation between radians and degrees The angle radians corresponds to 180 degrees. Therefore,

one radian

degrees degrees,

one degree

radians radians (6.1.1)

6.1.3 CIRCULAR FUNCTIONS Consider the rectangular coordinate system shown in Figure 6.1. The coordinate is positive to the right of the origin and the coordinate is positive above the origin. The radius vector r shown terminating on the point is shown rotated by the angle up from the axis. The radius vector r has component values and .