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If cos^(-1)lambda+cos^(-1)mu+cos^(-1)gam...

If `cos^(-1)lambda+cos^(-1)mu+cos^(-1)gamma=3pi,` then find the value of `lambdamu+mugamma+gammalambda`

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`cos^(-1)lambda+cos^(-1)mu+cos^(-1)gamma=3pi`
`0<=cos^(-1)x<=x`
`cos^(-1)lambda=cos^(-1)mu=cos^(-1)gamma=pi`
`cos^(-1)lambda=pi`
`cospi=lambda=-1`
`lambda=mu=gamma=-1`
`lambdamu+mulambda+gammalambda=3`
`1+1+1=3`.
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