Find the value of angle $ heta $ where $ cos( heta) = -frac{1}{2} $ on the unit circle
Answer 1
Ella Lewis
The cosine function represents the x-coordinate on the unit circle. Thus, finding $ \cos(\theta) = -\frac{1}{2} $ involves finding the angles where the x-coordinate is -1/2. On the unit circle, this occurs at:
$ \theta = \frac{2\pi}{3} + 2k\pi \quad \text{and} \quad \theta = \frac{4\pi}{3} + 2k\pi $
for any integer $ k $.
Answer 2
Henry Green
To find the values of $ heta $ such that $ cos( heta) = -frac{1}{2} $ on the unit circle, we identify the angles where the x-coordinate is -1/2. These angles are:
$ heta = frac{2pi}{3} + 2npi quad ext{and} quad heta = frac{4pi}{3} + 2npi $
where $ n $ is an integer.
Answer 3
Emma Johnson
For $ cos( heta) = -frac{1}{2} $ on the unit circle, the angles are:
$ heta = frac{2pi}{3} + 2mpi quad ext{and} quad heta = frac{4pi}{3} + 2mpi $
where $ m $ is an integer.
Start Using PopAi Today