If beta, gamma are two positive angles < π and cos alpha + cos (alpha+ beta) + cos (alpha + beta + gamma) =0 and sin alpha + sin (alpha + beta) + sin (alpha + beta + gamma) = 0, then.
A) beta + gamma = 4π/3
B) beta + gamma = 2π/3
C) beta - gamma = 0
D) beta - gamma = π/3
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Answer:
beta-gamma = 0
beta gamma = 2π/3
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