Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

(A) If in a cube, $\theta$ is the angle between any two body-diagonals then the value of $\cos \theta$ is.

(p) $1$

(B) If in a cube, $\theta$ is the angle between a body-diagonal and a face-diagonal which is skew to it, then the value of $\sin \theta$ is.

(q) $\frac{1}{\sqrt{2}}$

(C) If in a cube, $\theta$ is the angle between diagonals of two faces through a vertex, then the value of $\cot \theta$ is.

(r) $\frac{1}{\sqrt{3}}$

(D) If in a cube, $\theta$ is the angle between a body-diagonal and a face-diagonal intersecting it then the value of $\tan \theta$ is.

(s) $\frac{1}{2}$

(t) $1/3$