Identify the coterminal angle between
–360° and 360° for the angle –120°.
Ac = -120 + 360 = 240 Deg.
240
Well, let's take a look at the angle -120°. To find its coterminal angle between -360° and 360°, we can add or subtract multiples of 360° until we reach a value within that range.
So, adding 360° to -120° will give us 240°, which is still within the range of -360° and 360°.
Therefore, the coterminal angle between -360° and 360° for the angle -120° is 240°. Just remember, in the world of angles, it's always good to have a sense of humor...or a sense of "coterminality."
To identify the coterminal angle between -360° and 360° for the angle -120°, we need to find angles that have the same initial and terminal sides as -120° but fall within the given range.
Coterminal angles are angles that differ by a multiple of 360°. So, to find coterminal angles, we can add or subtract 360° repeatedly until we obtain an angle within the given range.
Let's start with the given angle, -120°:
-120° + 360° = 240°
-120° - 360° = -480°
Now we have found two angles that are coterminal with -120°. However, we need to ensure they fall within the range of -360° to 360°.
240° falls within the range of -360° to 360°, so it is the coterminal angle between -360° and 360° for -120°.
To summarize, the coterminal angle between -360° and 360° for the angle -120° is 240°.