If a line makes the angles \alpha, \beta, \gamma with the axes, then what is the value of 1+\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma equal to?

UPSC NDA I 2012 Mathematics Paper

Question : 112 of 120

Marks: +1, -0

If a line makes the angles α,β,γ with the axes, then what is the value of 1+cos‌2‌α+cos‌2‌β+cos‌2‌γ equal to?

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