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Mathematics
Mathematics
Problem
Prove that
sin
A
+
sin
2
A
+
sin
4
A
+
sin
5
A
cos
A
+
cos
2
A
+
cos
4
A
+
cos
5
A
=
tan
3
A
.
\frac{\sin A + \sin 2A + \sin 4A + \sin 5A}{\cos A + \cos 2A + \cos 4A + \cos 5A} = \tan 3A.
cos
A
+
cos
2
A
+
cos
4
A
+
cos
5
A
sin
A
+
sin
2
A
+
sin
4
A
+
sin
5
A
=
tan
3
A
.
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