If the angles ,

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

If the angles

A

B

, and

C

of a triangle are in arithmetic progression, and

a

b

, and

c

denote the lengths of the sides opposite

A

B

, and

C

respectively, then the value of

\frac{a}{c}\sin2C+\frac{c}{a}\sin2A

is: (1)

\frac{1}{2}

(2)

\frac{\sqrt3}{2}

(3)

1

(4)

\sqrt3