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

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H.P

G.P.

none of these

A.P

answer is A.

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Detailed Solution

Applying b - a= c - b for A.P.,

we get 2 cosz sin(x - y) - 2 cosx sin(y - z)

Dividing by 2 cosx cosy cosz, etc.,

we get tanx-tany =tany -tanz

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