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Mathematics
Mathematics
Problem
A line makes the same angle
θ
\theta
θ
with X-axis and Z-axis. If the angle
β
\beta
β
, which it makes with Y-axis, is such that
sin
2
β
=
3
sin
2
θ
\sin^2 \beta = 3 \sin^2 \theta
sin
2
β
=
3
sin
2
θ
, then the value of
cos
2
θ
\cos^2 \theta
cos
2
θ
is a.
1
5
\frac{1}{5}
5
1
b.
2
5
\frac{2}{5}
5
2
c.
3
5
\frac{3}{5}
5
3
d.
2
3
\frac{2}{3}
3
2
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