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All-Russian Olympiad Regional Round
2003 All-Russian Olympiad Regional Round
10.1
{sina,sin2a,sin3a}={cosa, cos2a, cos3a} All-Russian MO 2003 Regional (R4) 10.1
{sina,sin2a,sin3a}={cosa, cos2a, cos3a} All-Russian MO 2003 Regional (R4) 10.1
Source:
September 17, 2024
trigonometry
algebra
Problem Statement
Find all angles a for which the set of numbers
sin
a
\sin a
sin
a
,
sin
2
a
\sin 2a
sin
2
a
,
sin
3
a
\sin 3a
sin
3
a
coincides with the set
c
o
s
a
cos a
cos
a
,
c
o
s
2
a
cos 2a
cos
2
a
,
c
o
s
3
a
cos 3a
cos
3
a
.
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