Select the representations that do not change the location o

Select the representations that do not change the location of the point (4, -2 pi/3). A. (4, 5 pi/3) b. (4, 4 pi/3) c. (-4, - pi/6) d. (-4, -5 pi/3) Choose the correct answer below. Choose all that apply. A. (4, 5 pi/3) b. (4, 4 pi/3) c. (-4, - pi/6) d. (-4, -5 pi/3)

Solution

Solution:

coordinates:(r,angle)

As we know;

By adding n(360^o)or 2n to the angle given doesn\'t make any difference.

here, n = 0,1,2,3,4,,5 . . . .

hence adding to the angle given:

=> angle(new) = angle + n

=> angle(new) = -2/3 + n

=> angle(new) = /3 , 4/3 , 7/3 . . . for n = 1,2,3 . . .

Answer - B (4,4/3)