(Solved): Determine the quadrant in which the terminal side of \( \theta \) lies. (a) \( \csc \theta ...

Determine the quadrant in which the terminal side of \( \theta \) lies. (a) \( \csc \theta<0 \) and \( \cos \theta<0 \) (b) \( \sin \theta<0 \) and \( \cot \theta>0 \) Let \( (-7,3) \) be a point on the terminal side of \( \theta \). Find the exact values of \( \cos \theta, \csc \theta \), and \( \tan \theta \). Let \( \theta \) be an angle in quadrant I such that \( \sin \theta=\frac{4}{5} \). Find the exact values of \( \sec \theta \) and \( \tan \theta \). Let \( \theta \) be an angle in quadrant I such that \( \sec \theta=\frac{17}{8} \). Find the exact values of \( \cot \theta \) and \( \sin \theta \). Let \( \theta \) be an angle such that \( \sec \theta=-\frac{5}{2} \) and \( \cot \theta<0 \). Find the exact values of \( \tan \theta \) and \( \sin \theta \). Find the exact value of \( \sin 210^{\circ} \).