Question

In what quadrant does the angle 12pi/5 terminate? I II III IV

Answer 1

(we know 10pi/5 = 2pi)

So 12pi/5 = 2pi/5 = 2*(180)/5 = 75 degrees in Quadrant 1

Answer 2

Option A is correct .i.e., I

Explanation:

We have to tell in which quadrant Angle
`(12\pi)/(5)` lies

First we simply the given angle,

`(12\pi)/(5)`

`2\pi+(2\pi)/(5)`

we know that

2π represent one complete revolution.

⇒
`(2\pi)/(5)` decides given angles belongs to which quadrant.

Value of
`(2\pi)/(5)=(2*180)/(5)=2*36=72`

So,
`(12\pi)/(5)` lie in Ist Quadrant as 72 lies in Ist quadrant

Therefore, Option A is correct .i.e., I