Question

In what quadrant does the angle 12pi/5 terminate?

Answer 1

12pi/5 = 2pi/5, which lands in the first quadrant.

Answer 2

Given angle terminates in Quadrant 1.

Explanation:

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

First we simply the given angle,

`\implies(12\pi)/(5)`

`\implies2\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 1st Quadrant as 72 lies in 1st quadrant

Therefore, Given angle terminates in Quadrant 1.