Construct an appropriate triangle to find the missing values. $\left(0^{\circ} \leq \theta \leq 90^{\circ}, 0 \leq \theta \leq \pi / 2\right)$ \begin{tabular}{|c|c|c|c|} \hline Function & $\theta$ (deg) & $\theta$ (rad) & Function Value \\ \hline $\tan$ & & - $\frac{\pi}{3}$ & \\ \hline \end{tabular} Need Help? Read It Watch it Submit Answer

Step 1 ：Construct an appropriate triangle to find the missing values. The range of the angle θ is from 0 to 90 degrees or from 0 to π/2 radians.

Step 2 ：We are given the angle θ in radians as -π/3.

Step 3 ：The angle -π/3 radians is equivalent to -60 degrees.

Step 4 ：In a 30-60-90 triangle, the ratio of the opposite side to the adjacent side (which is the definition of the tangent function) is √3/1 for the 60 degree angle.

Step 5 ：Therefore, the value of the tangent function at -60 degrees (or -π/3 radians) is -√3.

Step 6 ：Using Python, we calculate the tangent of the angle θ as -1.7320508075688767.

Step 7 ：The final answer is the value of the tangent function at an angle of -π/3 radians, which is \(\boxed{-\sqrt{3}}\).