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Mathematics
Mathematics
Problem
If
sin
4
x
2
+
cos
4
x
3
=
1
5
\frac{\sin^4 x}{2} + \frac{\cos^4 x}{3} = \frac{1}{5}
2
s
i
n
4
x
+
3
c
o
s
4
x
=
5
1
, then show that
sin
8
x
8
+
cos
8
x
27
=
1
125
\frac{\sin^8 x}{8} + \frac{\cos^8 x}{27} = \frac{1}{125}
8
s
i
n
8
x
+
27
c
o
s
8
x
=
125
1
.
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