A line makes the same angle with X-axis and Z-axis

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A line makes the same angle

\theta

with X-axis and Z-axis. If the angle

\beta

, which it makes with Y-axis, is such that

\sin^2 \beta = 3 \sin^2 \theta

, then the value of

\cos^2 \theta

is (1)

\frac{1}{5}

(2)

\frac{2}{5}

(3)

\frac{3}{5}

(4)

\frac{2}{3}