Quostion 1, 1,3.4 HW Scores O\%, 0 of 10 points Pointss 0 of 1 If \( \cot 0 \) is undefined, what is the value of \( \tan 0 \) ? \[ \tan 0= \] \( \square \) (Type an exact answer, using radicals as needed, Simplify your answer, including any radicals, Use integers or fractions for any numbers in the expression.)

Ah, the classic trig angle question! When we think about angles, especially \(0^\circ\), it's nice to remember the basics of the unit circle. At an angle of \(0^\circ\), the coordinates are \((1, 0)\). Since \(\tan\) is the ratio of the \(y\) coordinate to the \(x\) coordinate, we have: \[ \tan 0 = \frac{\text{opposite}}{\text{adjacent}} = \frac{0}{1} = 0 \] So, \( \tan 0 = 0 \). Now, here’s a fun fact: When we say that \( \cot 0 \) is undefined, it’s because that’s the ratio of \(1\) (which is the adjacent side) to \(0\) (the opposite side). Dividing by zero? No can do! This is how we keep our math in check! Stay sharp with these basics, and you'll be ready for anything the trig world throws your way!