Question

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

Answer 1

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.