Answer
The appropriate sign in order to make the computation true is the positive (+) sign.
Work Step by Step
We know that $\tan \,{{200}^{\circ }}$ lies in the third quadrant where the trigonometric functions of tan and cot are considered to be positive and the rest of the functions like sin, cos, sec, and cosec are negative. And the main reason that it lies in the third quadrant is that the first quadrant is $0\text{ to }{{90}^{\circ }}$ and the second quadrant is between ${{90}^{\circ }}\,\text{ and }\,{{180}^{\circ }}$ and the third quadrant is ${{180}^{\circ }}\,\text{to}\,{{360}^{\circ }}$.
Thus, this indicates that $\tan \,{{200}^{\circ }}$ is in the third quadrant where the tan and cot are positive and the rest are negative.
