80. If \( \alpha+\beta+\gamma=2 \theta \), prove that \[ \begin{array}{r} \cos ^{2} \theta+\cos ^{2}(\theta-\alpha)+\cos ^{2}(\t

80. If \( \alpha+\beta+\gamma=2 \theta \), prove that \[ \begin{array}{r} \cos ^{2} \theta+\cos ^{2}(\theta-\alpha)+\cos ^{2}(\theta-\beta)+\cos ^{2}(\theta-\gamma) \\ =2(1+\cos \alpha \cos \beta \cos \gamma) \end{array} \]

80. If \( \alpha+\beta+\gamma=2 \theta \), prove that \[ \begin{array}{r} \cos ^{2} \theta+\cos ^{2}(\theta-\alpha)+\cos ^{2}(\theta-\beta)+\cos ^{2}(\theta-\gamma) \\ =2(1+\cos \alpha \cos \beta \cos \gamma) \end{array} \]

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