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Problems
Contests
National and Regional Contests
Albania Contests
Albania Round 2
2014 Albania Round 2
5
5
Part of
2014 Albania Round 2
Problems
(1)
angles satisfying an equation
Source: Albania Round 2, Grade XI 2014 P5
11/14/2018
Prove that if the angles
α
\alpha
α
and
β
\beta
β
satisfy
sin
(
α
+
β
)
=
2
sin
α
\sin(\alpha + \beta) = 2 \sin \alpha
sin
(
α
+
β
)
=
2
sin
α
, Then
α
<
β
\alpha < \beta
α
<
β
geometry