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# If  $\theta$ is an angle given by $\mathrm{cos}\theta =\frac{{\mathrm{cos}}^{2}\alpha +{\mathrm{cos}}^{2}\beta +{\mathrm{cos}}^{2}\gamma }{{\mathrm{sin}}^{2}\alpha +{\mathrm{sin}}^{2}\beta +{\mathrm{sin}}^{2}\gamma }$ where $\alpha ,\beta ,\gamma$ are the angles made by a line with the axes $\stackrel{\to }{OX},\text{\hspace{0.17em}}\stackrel{\to }{OY},\stackrel{\to }{OZ}$respectively then the value of $\theta$ is

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detailed solution

Correct option is A

cosθ=12

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