Let O represent the origin and P be the point (9, -4). Find the positive angle (counterclock wise direction)that the line segment OP makes with the positive x-axis.

Question

the answer is 5.86 radians but i keep getting 0.418 radian. please help and show work

Answer 1

Isn't your angle in the fourth quadrant?

Your angle in standard position (the corresponding angle if the triangle had been in the first quadrant is inversetan(4/9) which is .418

so your angle in the 4th quadrant is 2pi - .418 = 5.865