Decide whether the statement is possible or impossible
$$\tan \theta =-1.6$$
Is the statement possible or impossible?
A. The statement is impossible because the range of $\tan \theta$ is $[-1,1]$.
B. The statement is possible because the range of $\tan \theta$ is $(-\mathrm{\infty },\mathrm{\infty })$.
C. The statement is impossible because the range of $\tan \theta$ is $(0,\mathrm{\infty })$.
D. The statement is possible because the range of $\tan \theta$ is $(-\mathrm{\infty },0)$

Step 1 ：Decide whether the statement is possible or impossible

Step 2 ：$$\tan \theta =-1.6$$

Step 3 ：Is the statement possible or impossible?

Step 4 ：A. The statement is impossible because the range of $\tan \theta$ is $[-1,1]$.

Step 5 ：B. The statement is possible because the range of $\tan \theta$ is $(-\mathrm{\infty },\mathrm{\infty })$.

Step 6 ：C. The statement is impossible because the range of $\tan \theta$ is $(0,\mathrm{\infty })$.

Step 7 ：D. The statement is possible because the range of $\tan \theta$ is $(-\mathrm{\infty },0)$

Step 8 ：The tangent function, $\tan \theta$, is defined as the ratio of the sine to the cosine of an angle. The range of the tangent function is all real numbers, which is $(-\mathrm{\infty },\mathrm{\infty })$. Therefore, it is possible for $\tan \theta$ to be -1.6.

Step 9 ：Final Answer: $\boxed{{\displaystyle \text{(B) The statement is possible because the range of }\tan \theta \text{ is }(-\mathrm{\infty },\mathrm{\infty })}}$