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Mathematics
Mathematics
Problem
If
A
,
B
A, B
A
,
B
and
C
C
C
are angles of a triangle, the value of
∣
e
2
i
A
e
−
i
C
e
−
i
B
e
−
i
C
e
2
i
B
e
−
i
A
e
−
i
B
e
−
i
A
e
2
i
C
∣
\begin{vmatrix} e^{2iA} & e^{-iC} & e^{-iB} \\ e^{-iC} & e^{2iB} & e^{-iA} \\ e^{-iB} & e^{-iA} & e^{2iC} \end{vmatrix}
e
2
i
A
e
−
i
C
e
−
i
B
e
−
i
C
e
2
i
B
e
−
i
A
e
−
i
B
e
−
i
A
e
2
i
C
is (where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
) a. 1 b. -1 c. -2 d. -4
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