A positive angle less than 2pi that is coterminal with the angle -11pi over 3

Solution:

Two angles are coterminal when the angels themselves are different, but their sides and vertices are identical.

There is an infinite number of coterminal angles of a given angle. Additionally, there the values of the coterminal angles may be negative or positive. 

To find the coterminal angle of a given angle we add or subtract 2π. 11π/3 -2π= -5 π/3

We are required to find a positive coterminal angle and hence we add 2π to it.

-5 π/3 + 2π

=π/3 radians

Given angle = -11π/3

Since the angle -11π/3 is in the first quadrant, converting it into degrees

-11π/3 = -660° = -360° - 300° = +60°

Since 360 means a complete rotation and -300° is the anti-clockwise angle of +60°

Hence, the required co-terminal angle is 60° = π/3 radians

A positive angle less than 2pi that is coterminal with the angle -11pi over 3

Summary:

A positive angle less than 2pi that is coterminal with the angle -11pi over 3 is π/3 radians.