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sveta [45]
3 years ago
12

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

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0
We know that
Two angles are said to be co-terminal <span>if they have the same initial side and </span>
<span>the same terminal side. 
</span>
(52π/5)-----> 10.4π<span>
so
</span>(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

cluponka [151]3 years ago
3 0

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°.

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</span>
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