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

Question

asked Oct 14, 2023 183k views

1 Answer

Jamie Curtis · Answer 1 · 2023-10-21T01:46:45+0000

Given these two angles:

$(5\pi)/(4)$
$-(3\pi)/(4)$

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

$360\text{\degree or }2\pi$

Then, you need to set up:

$(5\pi)/(4)-(-(3\pi)/(4))$

Solving the Subtraction, you get:

$=(5\pi)/(4)+(3\pi)/(4)$
$=(8\pi)/(4)$
$=2\pi$

Hence, the answer is: They are Coterminal Angles.