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National and Regional Contests
Moldova Contests
Chisinau City MO
1975 Chisinau City MO
100
Chisinau MO p100 1975 R1 X sin^3x+sin^32x +sin^33x=(sinx+sin2x+sin3x)^3
Chisinau MO p100 1975 R1 X sin^3x+sin^32x +sin^33x=(sinx+sin2x+sin3x)^3
Source:
March 16, 2021
algebra
trigonometry
Problem Statement
Solve the equation:
sin
3
x
+
sin
3
2
x
+
sin
3
3
x
=
(
sin
x
+
sin
2
x
+
sin
3
x
)
3
\sin ^3x+\sin ^32x+\sin ^33x=(\sin x + \sin 2x + \sin 3x)^3
sin
3
x
+
sin
3
2
x
+
sin
3
3
x
=
(
sin
x
+
sin
2
x
+
sin
3
x
)
3
.
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