ReyahW59304 ReyahW59304
  • 03-11-2022
  • Mathematics
contestada

Hi so sorry i need help in geometry i think its asking if the two given angles are coterminal or not

Hi so sorry i need help in geometry i think its asking if the two given angles are coterminal or not class=

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LissyK552095 LissyK552095
  • 03-11-2022

Given these two angles:

[tex]\frac{5\pi}{4}[/tex][tex]-\frac{3\pi}{4}[/tex]

You need to remember that, by definition, two angles are coterminal if the Difference (the result obtained by subtracting them) is:

[tex]360\text{\degree or }2\pi[/tex]

Then, you need to set up:

[tex]\frac{5\pi}{4}-(-\frac{3\pi}{4})[/tex]

Solving the Subtraction, you get:

[tex]=\frac{5\pi}{4}+\frac{3\pi}{4}[/tex][tex]=\frac{8\pi}{4}[/tex][tex]=2\pi[/tex]

Hence, the answer is: They are Coterminal Angles.

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