Question

Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5

Answer 1

we know that
Two angles are said to be co-terminal if they have the same initial side and 
the same terminal side. 

(52π/5)-----> 10.4π
so
(52π/5)-5*2π------> (2π/5)

the answer is
the positive angle less than one revolution around the unit circle that is co-terminal with angle of 52π/5 is 2π/5

Answer 2

Answer:

72°

Step-by-step explanation:

Given angle = $\dfrac{52\pi}{5}$

we know, $\pi=180^\circ$

so, given angle = $\dfrac{52}{5} \times 180 = 1872^\circ$

Also, one complete revolution = 360°

we can write the given angle as

1872° = 5 x 360° + 72°

So, the given angle is the sum of five complete revolutions (1800°) and 72°

Therefore,  positive angle less than one revolution around the unit circle that is co-terminal with the given angle is 72°.