Question

Which of the following are in correct order from greatest to least? pi/2, 330°,5pi/3 ,7pi/6 ,2pi/3 5pi/3,7pi/6 ,2pi/3 , pi/2 , 330° pi/2, 2pi/3 , 7pi/6, 5pi/3, 330° 330°, 5pi/3, 7pi/6,2pi/3 , pi/2 (answer is D)

Answer 1

D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2

Explanation:

Lets clear the question first. We have been given 4 options:

A) π/2 , 330°, 5π/3, 7π/6, 2π/3

B) 5π/3, 7π/6 , 2π/3 , π/2 , 330°

C) π/2, 2π/3 , 7π/6, 5π/3, 330°

D) 330°, 5π/3 , 7π/6 , 2π/3 , π/2

Lets convert all the values into degrees

330° = 330°

π/2 = 180/2 = 90°

5π/3 = 300°

7π/6 = 210°

2π/3 = 120°

Arrange them from greatest to lowest.

330° , 300° , 210° , 120° , 90°

or

330° , 5π/3 , 7π/6 , 2π/3 , π/2

which is option D