Answer:
1. B)
2. A)
Step-by-step explanation:
[tex]1) \\\\\theta = \frac{\pi}{3} \\sin \frac{\pi}{3} = \frac{\sqrt{3}}{2} \\\\csc \frac{\pi}{3} = \frac{2}{\sqrt{3}} = \frac{2 \sqrt{3}}{\sqrt{3}\sqrt{3}} \\\\sin\theta * csc\theta = \frac{\sqrt{3}}{2} * \frac{2}{\sqrt{3}} = \frac{2 * \sqrt{3}}{2 * \sqrt{3}} = 1 \\\\\\2) \\\\\theta = \frac{\pi}{4} \\cos \frac{\pi}{4} = \frac{\sqrt{2}}{2} \\\\sec \frac{\pi}{4} = \frac{2}{\sqrt{2}} = \sqrt{2} \\\\cos\theta * sec\theta = \frac{\sqrt{2}}{2} * \frac{2}{\sqrt{2}} = \frac{2 * \sqrt{2}}{2 * \sqrt{2}} = 1[/tex]
