Answer:
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
Step-by-step explanation:
The coordinate has the following polar form:
[tex]\vec r = (1, 0^{\circ})[/tex]
The image of the coordinate rotated counterclockwise 60° is:
[tex]\vec s = (1, 60^{\circ})[/tex]
Its equivalent form in rectangular coordinates is:
[tex]\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})[/tex]
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]