Question

If a line makes angles 60°, 45°, 45° and $\theta$ with the four diagonals of a cube then $si{n}^2\theta =$

• A. $\frac{1}{12}$
• B. $\frac{11}{12}$
• C. $\sqrt{\frac{11}{12}}$
• D. $\frac{31}{12}$

Answer 1

Answer: (B)

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