Question

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

Answer 1

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

Answer 2

Answer:

Given angle terminates in Quadrant 1.

Step-by-step explanation:

We have to tell in which quadrant Angle $\frac{12\pi}{5}$ lies

First we simply the given angle,

$\implies\frac{12\pi}{5}$

$\implies2\pi+\frac{2\pi}{5}$

we know that

2π represent one complete revolution.

⇒ $\frac{2\pi}{5}$ decides given angles belongs to which quadrant.

Value of $\frac{2\pi}{5}=\frac{2\times180}{5}=2\times36=72$

So, $\frac{12\pi}{5}$  lie in 1st Quadrant as 72 lies in 1st quadrant

Therefore, Given angle terminates in Quadrant 1.