To find coterminal angles, we need to understand that two angles are coterminal if they differ by a multiple of 2π (360 degrees). For an angle given in radians, such as 3π/4, we can find coterminal angles by either adding or subtracting 2π.
Let’s start with the given angle:
3π/4
Now, we can find two positive coterminal angles:
- First positive angle:
3π/4 + 2π = 3π/4 + 8π/4 = 11π/4 - Second positive angle:
3π/4 + 4π = 3π/4 + 16π/4 = 19π/4
Now, let’s calculate two negative coterminal angles:
- First negative angle:
3π/4 - 2π = 3π/4 - 8π/4 = -5π/4 - Second negative angle:
3π/4 - 4π = 3π/4 - 16π/4 = -13π/4
In summary, the two positive coterminal angles with 3π/4 are 11π/4 and 19π/4, while the two negative coterminal angles are -5π/4 and -13π/4.