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If A+B+C=360^(@) ,prove that: 1-cos^(2)A...

If A+B+C=`360^(@)` ,prove that: `1-cos^(2)A-cos^(2)B-cos^(2)C+2cosA cos B cos C=0`

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Knowledge Check

  • If : A+B+C=pi, "then" : 1-cos^(2) A-cos^(2)B-cos^(2)C= A) 2 cos A * cos B * cos C B) 2 sin A * cos B * cos C C) 2 cos A * sin B * cos C D) 2 cos A * cos B * sin C

    A
    `2 cos A * cos B * cos C `
    B
    `2 sin A * cos B * cos C`
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    `2 cos A * sin B * cos C`
    D
    `2 cos A * cos B * sin C`

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