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$If A, B, C \in (- \frac{π}{2} \frac{π}{2}), then max value of \cos A + \cos B + \cos C$

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Correct option is B

For the function which is concave downwards.fx1+x2+x33>fx1+fx2+fx33⇒cosA+cosB+cosC3≤cosA+B+C3⇒cosA+cosB+cosC3≤12⇒cosA+cosB+cosC≤32

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If A,B,C∈-π2π2, then max value of cosA+cosB+cosC

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$If A, B, C \in (- \frac{π}{2} \frac{π}{2}), then max value of \cos A + \cos B + \cos C$