A line makes the same angle \( \theta \) with each of the \( x \) and \( z \)-axis. If the angle....

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A line makes the same angle \( \theta \) with each of the \( x \) and \( z \)-axis. If the angle \( \beta \), which it makes with
\( \mathrm{P} \)
\( y \)-axis, is such that \( \sin ^{2} \beta=3 \sin ^{2} \theta \), then \( \cos ^{2} \theta \)
W
equals:
(1) \( \frac{2}{5} \)
(2) \( \frac{3}{5} \)
(3) \( \frac{1}{5} \)
(4) \( \frac{2}{3} \)

(1) (D) (8) (a) \( \infty \)


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