Question : If $\cos A + \cos B + \cos C = 3$, then what is the value of $\sin A + \sin B + \sin C$?
Option 1: $1$
Option 2: $2$
Option 3: $0$
Option 4: $-1$
Answer (1)
22nd Jan, 2024
Correct Answer: $0$
Solution :
The equation $\cos A + \cos B + \cos C = 3$ holds when $A = B = C = 0°$ because the maximum value of $\cos \theta$ is $1$.
Since $\sin 0° = 0$, the value of $\sin A + \sin B + \sin C$ would be $\sin 0° + \sin 0° + \sin 0° = 0 + 0 + 0 = 0$.
Hence, the correct answer is $0$.
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