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

Answer:

Option A is correct .i.e., I

Step-by-step explanation:

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

First we simply the given angle,

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

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

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 Ist Quadrant as 72 lies in Ist quadrant

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