Find the points at which the following polar curve has a horizontal or a vertical tangent line.\\
r = 7 sin \(\theta\)\
A. The polar curve has a horizontal tangent line at \(\left(\frac{7}{2}, \frac{\pi}{4}\right)\) and \(\left(\frac{7}{2}, \frac{3\pi}{4}\right)\).\\
B. The polar curve has a horizontal tangent line at \((0, 0)\) and \(\left(\frac{7\pi}{2}, \frac{\pi}{2}\right)\).\\
C. The polar curve has a horizontal tangent line at \(\left(7, \frac{\pi}{6}\right)\) and \(\left(7, \frac{\pi}{3}\right)\).\\
D. The polar curve has a horizontal tangent line at \((0, 0)\), \(\left(\frac{7\pi}{2}, \frac{\pi}{3}\right)\), and \(\left(-\frac{7\pi}{2}, \frac{2\pi}{3}\right)\).\\
At what points does the polar curve have a vertical tangent line?\\
A. The polar curve has a vertical tangent line at \((0, 0)\), \(\left(\frac{7\pi}{2}, \frac{\pi}{3}\right)\), and \(\left(-\frac{7\pi}{2}, \frac{2\pi}{3}\right)\).\\
B. The polar curve has a vertical tangent line at \((0, 0)\) and \(\left(\frac{7\pi}{2}, \frac{\pi}{2}\right)\).\\
C. The polar curve has a vertical tangent line at \(\left(7, \frac{\pi}{6}\right)\) and \(\left(7, \frac{\pi}{3}\right)\).\\
D. The polar curve has a vertical tangent line at \(\left(\frac{7\sqrt{2}}{2}, \frac{\pi}{4}\right)\) and \(\left(\frac{7\sqrt{2}}{2}, \frac{3\pi}{4}\right)\).
