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Question

If sin α+sin β+sin γ=0=cos α+cos β+cos γ then value of cos(αβ)+cos(βγ)+cos(γα) is



A

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B

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C

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D

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Solution

The correct option is A


(sin α+sin β)2+(cos α+cos β)2=(1sinγ)2+(1cosγ)21+1+2 cos(αβ)=11 cos (αβ)=12Similarly cos(βγ)=12 and cos(γα)=12

Thus the value of expression is 32


Mathematics

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