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 $(-\infty, \infty)$. C. The statement is impossible because the range of $\tan \theta$ is $(0, \infty)$. D. The statement is possible because the range of $\tan \theta$ is $(-\infty, 0)$

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 $(-\infty, \infty)$.

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

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

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 $(-\infty, \infty)$. Therefore, it is possible for $\tan \theta$ to be -1.6.

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