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# If a line makes angle $\alpha,\:\beta,\:\gamma$ with $x-axis,\:y-axis\:and\:\:z-axis$ respectively, then $sin^2\alpha+sin^2\beta+sin^2\gamma=?$

$\begin{array}{1 1} 0 \\ 1 \\ 2 \\ 3 \end{array}$

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• $cos^2\alpha+cos^2\beta+cos^2\gamma=1$
$sin^2\alpha+sin^2\beta+sin^2\gamma=1-cos^2\alpha+1-cos^2\beta+1-cos^2\gamma$
$=3-1=2$ (Since $cos^2\alpha+cos^2\beta+cos^2\gamma=1$)
answered Dec 31, 2013