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National and Regional Contests
Moldova Contests
Chisinau City MO
1979 Chisinau City MO
183
183
Part of
1979 Chisinau City MO
Problems
(1)
Chisinau MO p183 1979 X sin^3 a cos 3a + cos^3 a sin 3a=3/4 sin4a
Source:
3/17/2021
Prove the identity
sin
3
a
cos
3
a
+
cos
3
a
sin
3
a
=
3
4
sin
4
a
.
\sin^3 a \cos 3a + \cos^3 a \sin 3a=\frac{3}{4}\sin 4a.
sin
3
a
cos
3
a
+
cos
3
a
sin
3
a
=
4
3
sin
4
a
.
trigonometry
algebra