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Theorem 3 :cosA+cosB+cosC=1+4sinA/2sinB/...

Theorem 3 :`cosA+cosB+cosC=1+4sinA/2sinB/2sinC/2`

Answer

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In DeltaABC , Prove that: cosA+cosB+cosC=1+4sinA/2sinB/2sinC/2

If A+B+C = pi , prove that : cosA- cosB - cosC = 1-4sinA//2cosB//2cosC//2 .

Knowledge Check

  • If cosA+cosB+cosC=0,sinA+sinB+sinC=0andA+B+C=180^(@) then the value of cos3A+cos3B+cos3C is :

    A
    3
    B
    `-3`
    C
    `sqrt3`
    D
    `-sqrt3`

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