If `A+B+C=180 ,` prove that `cos^2A+cos^2B+cos^2C=1-2cosAcosBcosCdot`

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prove that `cos^2A+cos^2B+cos^2C=1-2cosAcosBcosCdot`
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Solve a + b + C is equal to 180 then prove that cos 2A + cos 2b - cos2 C is equal to 1 - 4 sin a sin b cos c

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If A+B+C =180 then prove that
Cos^2A+Cos^2B=1-cosC .cos (A-B )

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anuradhamalviya