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If sin (y + z -x), sin (z + x-y), sin (x + y - z) are in A.P., then tan x, tan y, tan z are in

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H.P

none of these

G.P

A.P

answer is A.

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Detailed Solution

Applying b-a= c- b for A.P., we get 2 cos z sin (x - y) = 2 cos x sin (y- z)
Dividing by 2 cos x cos y cos z. etc.; we get tan x- tan y = tan y- tan z.

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