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

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.P. (b) G.P. (c) H.P. (d) none of these

A

AP

B

GP

C

HP

D

none of these.

Text Solution

Verified by Experts

The correct Answer is:
A
Applying `b-a=c-b` for AP we get
`2cos sin(x-y)=2cos 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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