Respuesta :

The angle of rotation is:

[tex]\frac{4\pi}{3}[/tex]

Since the given angle is positive , the direction of rotation is counterclockwise.

The size of the anglel spacing is:

[tex]\frac{\pi}{6}[/tex]

Therefore, the number of spacing between the given angle and the standard position is given by:

[tex](\frac{4\pi}{3}-0)\div\frac{\pi}{6}=8[/tex]

Therefore, Rotating a length of 5 units by 4π/3 from the standard position moves the point to V(5, 4π/3).

Since