If the angles A, B and... | JEE Advanced 2010 | Trigonometry

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JEE ADVANCE 2010

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Question

If the angles $\mathrm{A}, \mathrm{B}$ and C of a triangle are in an arithmetic progression and if $\mathrm{a}, \mathrm{b}$ and c denote the lengths of the sides opposite to $\mathrm{A}, \mathrm{B}$ and C respectively, then the value of the expression $\frac{\mathrm{a}}{\mathrm{c}} \sin 2 \mathrm{C}+\frac{\mathrm{c}}{\mathrm{a}} \sin 2 \mathrm{~A}$ is

Select the correct option:

A

$\frac{1}{2}$

B

$\frac{\sqrt{3}}{2}$

C

1

D

$\sqrt{3}$

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