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  4. If a line makes angles 60°, 45°, 45° and θ with the four diagonals of a cube then sin2 θ =

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Q. If a line makes angles 60°, 45°, 45° and $\theta$ with the four diagonals of a cube then $sin^2 \, \theta = $

Three Dimensional Geometry

Solution:

Use $\cos^2 \, \alpha + \cos^2 \beta + \cos^2 \, \gamma + \cos^2 \, \delta = \frac{4}{3}$ where $ \alpha = 60°,\beta = 45°,\gamma = 45°$