If a line makes angles 60?, 45?, 45? and (\theta) with the f... | Mathematics | SolveeIt

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

$\frac{1}{12}$

$\frac{11}{12}$

$\sqrt{\frac{11}{12}}$

$\frac{31}{12}$

Answer

$\frac{11}{12}$

Explanation

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

Mathematics Question on Three Dimensional Geometry