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Mathematics
Mathematics
Problem
If a line makes angles
α
,
β
\alpha, \beta
α
,
β
and
γ
\gamma
γ
with the coordinates axes, prove that
sin
2
α
+
sin
2
β
+
sin
2
γ
=
2
\sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma = 2
sin
2
α
+
sin
2
β
+
sin
2
γ
=
2
.
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