That's a Challenge!

Geometry Level 4

Q=acsin2C+casin2A\large Q = \dfrac { a }{ c } \sin { 2C }+ \dfrac { c }{ a } \sin { 2A }

If the angles AA,BB and CC of a triangle are in an arithmetic progression and let aa, bb and cc denote the lengths of the sides opposite to AA, BB and CC respectively, then find the value of QQ.

Give your answer to 3 decimal places.

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