InterviewSolution
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InterviewSolution
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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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Answer» As `sin(y+z-x),sin(z+x-y) and sin(x+y-z)` are in A.P. `:. sin(z+x-y)-sin(y+z-x) = sin(x+y-z)-sin(z+x-y)` `=>2coszsin(x-y) = 2cosxsin(y-z)` `=>coszsin(x-y) = cosxsin(y-z)` `=>(coszsin(x-y))/(cosxcosycosz) = (cosxsin(y-z))/(cosxcosycosz)` `=>(sin(x-y))/(cosxcosy) = (sin(y-z))/(cosycosz)` Using `(sin(A-B))/(cosAcosB) = tanA-tanB` `=>tanx-tany = tany - taz` `=>tany-tanx = tanz-tany` `:. tanx,tany and tanz` are in A.P. |
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