If the angles \( A, B \) and \( C \) of a triangle are in an arithm...

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If the angles \( A, B \) and \( C \) of a triangle are in an arithmetic progression and if \( a, b \) and \( c \) denote the lengths of the sides opposite to \( A, B \) and \( C \)
\( \mathrm{P} \) respectively, then the value of the expression

VV \( \frac{a}{c} \sin 2 C+\frac{c}{a} \sin 2 A \) is
(2010)
(a) \( \frac{1}{2} \)
(b) \( \frac{\sqrt{3}}{2} \)
(c) 1
(d) \( \sqrt{3} \)
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