determine the quadrant of 0 if tan0 = -1/√3 and cos0 = -√3/2

To determine the quadrant of 0, we can use the given values of tan(0) and cos(0).

Given that tan(0) = -1/√3, we know that the tangent of an angle is negative in the second and fourth quadrants.

Given that cos(0) = -√3/2, we know that the cosine of an angle is negative in the second and third quadrants.

Since both tan(0) and cos(0) are negative, this means that 0 must be in the third quadrant.

Therefore, 0 is in the third quadrant.