Find the minimum value of $cos( heta_1 + heta_2 + heta_3)$ where $ heta_1, heta_2, heta_3$ are angles on the unit circle satisfying specific conditions
Answer 1
Samuel Scott
Let
Answer 2
Henry Green
Given $ heta_1 + heta_2 + heta_3 = pi$, we need to determine the minimum value of $cos( heta_1 + heta_2 + heta_3)$. Using the identity for the cosine of a sum of angles, we have:
$cos( heta_1 + heta_2 + heta_3) = cos(pi) = -1.$
Thus, the minimum value is $-1$.
Answer 3
James Taylor
Since $ heta_1 + heta_2 + heta_3 = pi$, the minimum value of $cos( heta_1 + heta_2 + heta_3)$ is:
$cos(pi) = -1.$
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