MerrittD610388 MerrittD610388
  • 04-11-2022
  • Mathematics
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Determine the angle between 0 and 2π that is coterminal to 1020°.

Determine the angle between 0 and 2π that is coterminal to 1020 class=

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MalliC618728 MalliC618728
  • 04-11-2022

We will have the following:

First, we know that a whole rotation is 360°, so we can see that the number of rotations that are take are 2:

[tex]\begin{cases}360\cdot2=720 \\ \\ 360\cdot3=1080\end{cases}[/tex]

So, we find the remaining angle:

[tex]1020-720=300[/tex]

So, we transform that to radians:

[tex]300\cdot\frac{\pi}{180}=\frac{5}{3}\pi[/tex]

So, the coterminal angle to 1020° is 300° which in radians is:

[tex]\frac{5\pi}{3}[/tex]

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