If theta= tan^-1x, then which of the following statemetns best describes angle t
ID: 3024770 • Letter: I
Question
If theta= tan^-1x, then which of the following statemetns best describes angle theta?
a- The angle theta is an angle satisfying the inequality -pi/2<theta<pi/2 having a terminal side lying in Quadrant I, Quadrant IV, or on the positive x-axis.
b- The angle theta is an angle satisfying the inequality pi/2<theta<3pi/2 having a terminal side lying in Quadrant II, Quadrant III, or on the negative x-axis.
c- The angle theta is an angle satisfying the inequality pi<theta<2pi having a terminal side lying in Quadrant II, Quadrant IV, or on the postiive y-axis.
d- The angle is an angle satisying the inequality 0<theta<pi having a terminal side lying in Quadrant I, Quadrant II, or on the positive y-axis.
Explanation / Answer
If theta= tan^-1x, then which of the following statemetns best describes angle theta?
Answer
a- The angle theta is an angle satisfying the inequality -pi/2<theta<pi/2 having a terminal side lying in Quadrant I, Quadrant IV, or on the positive x-axis.