Find the angle of least positive measure that is coterminal

Find the angle of least positive measure that is coterminal with the given angle. -26 pi/3 7 pi/3 4pi/3 2pi/3 2pi

Solution

Coterminal angles A_c to angle A may be obtained by adding or subtracting k*360 degrees or k* (2 Pi). Hence

A_c = A + k*360^o if A is given in degrees.

or

A_c = A + k*(2 PI) if A is given in radians.

-26/3= -1560 degree multiplied by 180/

-1560+5*360=240 degree of least positive value