The angle of rotation is:
![(4\pi)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/nab2fe3rz09xhmwvp39fpw8lqrr5gty909.png)
Since the given angle is positive , the direction of rotation is counterclockwise.
The size of the anglel spacing is:
![(\pi)/(6)](https://img.qammunity.org/2023/formulas/mathematics/high-school/x1fy8jyqz4ec9gqhf1pkhv2obi5zp2uham.png)
Therefore, the number of spacing between the given angle and the standard position is given by:
![((4\pi)/(3)-0)/(\pi)/(6)=8](https://img.qammunity.org/2023/formulas/mathematics/college/i62cirx20xwnpayuurb9qc46yhyffart2e.png)
Therefore, Rotating a length of 5 units by 4π/3 from the standard position moves the point to V(5, 4π/3).
Since