The polar coordinates of a point are given. Find the rectangular coordinates of this point. \[ \left(1, \frac{7 \pi}{6}\right) \] What are the rectangular coordinates of this point? (Type an ordered pair. Type an exact answer, using radicals as needed.)

Step 1 ：The polar coordinates are given in the form (r, θ), where r is the distance from the origin and θ is the angle from the positive x-axis. To convert these to rectangular coordinates (x, y), we can use the formulas: x = r*cos(θ) and y = r*sin(θ).

Step 2 ：In this case, r = 1 and θ = 7π/6. We can substitute these values into the formulas to find the rectangular coordinates.

Step 3 ：Substituting r = 1 and θ = 7π/6 into the formulas, we get x = 1*cos(7π/6) and y = 1*sin(7π/6).

Step 4 ：Calculating these values, we get x = -0.8660254037844388 and y = -0.4999999999999997. The rectangular coordinates of the point are approximately (-0.866, -0.5).

Step 5 ：However, since the question asks for an exact answer, we should express these values in terms of radicals. The exact values are -√3/2 and -1/2, respectively.

Step 6 ：Final Answer: The rectangular coordinates of the point are \(\boxed{(-\frac{\sqrt{3}}{2}, -\frac{1}{2})}\).