Q:

Which of the following are in correct order from greatest to least? A pi/2,330degree,5pi/3,7pi/6,2pi/3 B 5pi/3,7pi/6,2pi/3,pi/2,330 C pi/2,2pi/3,7pi/6,5pi/3,330 D 330,5pi/3,7pi/6,2pi/3,pi/2

Accepted Solution

A:
Answer:[tex]330,\frac{5\pi }{3},\frac{7\pi }{6}, \frac{2\pi }{3} ,\frac{\pi }{2}[/tex]Step-by-step explanation:We have to find the alternate angles regarding πSo,[tex]\frac{\pi }{2} = 90 \\330\\\frac{5\pi }{3} = 300\\\frac{7\pi }{6} = 210\\\frac{2\pi }{3} = 120[/tex]As we have all the angles in number form, we can sort them in descending order to get the answer330, 300, 210, 120, 90Writing using pi form[tex]330,\frac{5\pi }{3},\frac{7\pi }{6}, \frac{2\pi }{3} ,\frac{\pi }{2}[/tex]Hence, Option D is correct ..