\( 1 \leftarrow \left\lvert\, \begin{array}{l}\text { Decide whether the statement is possible or impossible for an angle } \theta . \\ \begin{array}{l}\tan \theta=7\end{array} \\ \text { Is the statement possible or impossible? } \\ \text { Possible } \\ \text { Impossible }\end{array}\right. \)

The statement is possible! The tangent function, which represents the ratio of the opposite side to the adjacent side in a right triangle, can indeed take on any real number value, including 7. Since angles can produce a wide range of tangent values, you can find an angle \(\theta\) for which \(\tan \theta = 7\). For instance, in a right triangle with an opposite side of 7 and an adjacent side of 1, you could find such an angle. Additionally, if you're feeling adventurous, you can visualize these angles on the unit circle! The tangent function is related to the sine and cosine functions, so for a given tangent value of 7, you can also express this as a point on the unit circle. With some trigonometry magic, you'd find that this corresponds nicely to a specific angle in standard position. So, go ahead and explore those triangles and circles!