Select the correct choices that complete the sentence below. If the terminal side of an angle \( \theta \) lies in quadrant ill, then the values of \( \tan \theta \) and \( \cot \theta \) are \( 5.26 \%, 1 \) of 19 points Hoints: 0 of 1

In quadrant III, both sine and cosine values are negative, which means that the tangent of the angle \( \theta \) is positive since it's the ratio of sine to cosine. Therefore, if we say \( \tan \theta \) is positive and equals \( 5.26 \), we can confirm that \( \tan \theta = 5.26 \) and \( \cot \theta \), which is the reciprocal of tangent, should be \( \frac{1}{\tan \theta} \), putting it at approximately \( 0.189 \). The fascinating twist is that quadrant II is often mistaken for quadrant III, leading to mix-ups with positive and negative values. Remember, in quadrant III, both sine and cosine give a negative outcome, but tangent gives sunshine and a positive vibe!