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Problems
Mathematics
Mathematics
Problem
Express
(
cos
θ
+
i
sin
θ
)
4
(
sin
θ
+
i
cos
θ
)
5
\frac{(\cos\theta + i \sin\theta)^4}{(\sin\theta + i \cos\theta)^5}
(
s
i
n
θ
+
i
c
o
s
θ
)
5
(
c
o
s
θ
+
i
s
i
n
θ
)
4
in
a
+
i
b
a + ib
a
+
ib
form, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
.
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