(sin A - 2 sin3A)/(2 cos3A - cos A) = tan A
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sinA(1-2sin^2A)/cosA(2cos^2A-1)
then substitute the value of cosA as 1-sin^2A
sinA(1-2sin2A)/cosA(2(1-sin2A)-1)
sinA(1-2sin2A)/cosA (1-2sin2A)
there fore sinA/cosA is tanA
so lhs= rhs
hence proved. hope this helps
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