Question

What is the answer? I am trying to do some exercise

Answer 1

fourth quadrant.

Step-by-step explanation:

First, let us see how many 2 pi radians are there in 40 pi /7. The answer is found by dividing 40 pi / 7 by 2 pi

`(40\pi)/(7)/2\pi=(40\pi)/(7)*(1)/(2\pi)`

`=(40\pi)/(7)*(1)/(2\pi)=(20)/(7)=2R6`

Meaning ( 40 pi / 7 ) / ( 2pi ) = 2 Remainder 6

Meaning there are 2 complete revolutions in ( 40 pi / 7 ).

How about the revolution that is incomplete?

Now,

`(40\pi)/(7)-2(2\pi)=(40)/(7)\pi-4\pi`

`=(12)/(7)\pi`

`=1.71\pi`

Which if we plot, looks like

Meaning that 40 pi / 7 lies in the fourth quadrant.