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If sin(y+z-x),sin(z+x-y),"sin"(x+y-z) a...

If `sin(y+z-x),sin(z+x-y),"sin"(x+y-z)` are in A.P., then `t a n x ,tany ,tanz` are in (a)A.P. (b) G.P. (c) H.P. (d) none of these

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It is given that `sin(y+z−x),sin(z+x−y),sin(x+y−z)` are in A.P.
Therefore,
`sin(z+x−y)−sin(y+z−x)=sin(x+y−z)−sin(z+x−y)`
`⇒2sin(x−y)cosz=2sin(y−z)cosx`
...
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