If the angle is in the standard position and its terminal side passes through the point , determine .
The -coordinate of the point where the terminal side of an angle measuring in standard position in a rectangular coordinate
system intersects the unit circle is , and the -coordinate is . Since the angle is in standard position, and since its terminal
side intersects the unit circle at a point with coordinates of , must equal . The reciprocal of is equal to , so must equal
, or .