Question

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

Answer 1

Answer:

$330,\frac{5\pi }{3},\frac{7\pi }{6}, \frac{2\pi }{3} ,\frac{\pi }{2}$

Step-by-step explanation:

We have to find the alternate angles regarding π

So,

$\frac{\pi }{2} = 90 \\330\\\frac{5\pi }{3} = 300\\\frac{7\pi }{6} = 210\\\frac{2\pi }{3} = 120$

As we have all the angles in number form, we can sort them in descending order to get the answer

330, 300, 210, 120, 90

Writing using pi form

$330,\frac{5\pi }{3},\frac{7\pi }{6}, \frac{2\pi }{3} ,\frac{\pi }{2}$

Hence, Option D is correct ..

Answer 2

Answer:

D) 330, $\frac{5\pi }{3}$, $\frac{7\pi }{6}$, $\frac{2\pi }{3}$, $\frac{\pi }{2}$

Step-by-step explanation:

To find the order from greatest to least, we need to convert all $\pi$ terms to degrees.

We know that π = 180°

$\frac{\pi }{2} = \frac{180}{2} = 90$

$\frac{5\pi }{3} = \frac{5*180}{3} = \frac{900}{3} = 300$

$\frac{7\pi }{6} = \frac{7*180}{6} = \frac{1260}{6} = 210$

$\frac{2\pi }{3} = \frac{2*180}{3} = \frac{360}{3} = 120$

Now we have converted all in degrees. Let's arrange them from greatest to least.

330, 300, 210, 120, 90

Let's write them using $\pi$ term.

330, $\frac{5\pi }{3}$, $\frac{7\pi }{6}$, $\frac{2\pi }{3}$, $\frac{\pi }{2}$

Therefore, the answer is D) 330, $\frac{5\pi }{3}$, $\frac{7\pi }{6}$, $\frac{2\pi }{3}$, $\frac{\pi }{2}$