A line makes the same angle\[\theta \], with each of the x and z?axis. If the angle \[\beta \], which it makes with y-axis is such that \[{{\sin }^{2}}\beta =3{{\sin }^{2}}\theta ,\]then \[{{\cos }^{2}}\theta \]equals [AIEEE 2004]

A line makes the same angle\[\theta \], with each of the x and z?axis.

1.	A line makes the same angle\[\theta \], with each of the x and z?axis. If the angle \[\beta \], which it makes with y-axis is such that \[{{\sin }^{2}}\beta =3{{\sin }^{2}}\theta ,\]then \[{{\cos }^{2}}\theta \]equals [AIEEE 2004]
A.	\[\frac{3}{5}\]
B.	\[\frac{2}{3}\]
C.	\[\frac{1}{5}\]
D.	None of these
Answer» B. \[\frac{2}{3}\]

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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 y-axis is such that \[{{\sin }^{2}}\beta =3{{\sin }^{2}}\theta ,\]then \[{{\cos }^{2}}\theta \]equals [AIEEE 2004]

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