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:

$\frac{5\pi}{4}$$-\frac{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:

$\frac{5\pi}{4}-(-\frac{3\pi}{4})$

Solving the Subtraction, you get:

$=\frac{5\pi}{4}+\frac{3\pi}{4}$$=\frac{8\pi}{4}$$=2\pi$

Hence, the answer is: They are Coterminal Angles.