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![[Post New]](/templates/default/images/icon_minipost_new.gif) 6 Aug 2007 11:29:56 IST
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Prove that tanx+tany+tanz = tanx.tany.tanz, where x,y,z are any three angles.
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6 Aug 2007 11:40:58 IST
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Isn't there anybody who can answer this? This is not fair. I need a solution.
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6 Aug 2007 12:31:31 IST
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x + y + z = pi tan(x + y + z) = tanx + tany + tanz - tanx.tany.tanz/1 - tanx.tany - tany.tanz - tanz.tanx
tanx + tany + tanz - tanx.tany.tanz = 0
tanx + tany + tanz = tanx.tany.tanz
do rate me plz
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6 Aug 2007 13:00:43 IST
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How can x+y+z = pi when it is  ? Please answer this.
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6 Aug 2007 19:43:28 IST
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iff x,y,z are d angles of a triangle then itz true hence tanx + tany + tanz will not equal to tanx.tany.tanz
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8 Aug 2007 18:36:25 IST
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hey ur questoin is not correct .. only when x, y, z are the angles of the triangle do this property hold else not cheers
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Puneet Agrawal
IIT Delhi
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10 Aug 2007 16:06:58 IST
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The question shall be true if the angles are something like 50,70,20
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11 Aug 2007 09:05:45 IST
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the question is incorrect . it should be tanx.tany.tanz=tanz-tanx-tany
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12 Aug 2007 19:30:46 IST
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sandeep.............
can u prove it plz
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GBXDHNXDFNHBHRSDRGWEASGSEDH |
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12 Aug 2007 20:04:43 IST
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its true that if the angles are of a triangle,then only ankur will be right
question,but,is incorrect
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life's like a game
play it,enjoy it,accept defeats too,and finally win it
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13 Aug 2007 16:18:36 IST
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70=50+20
take tan on both sides
tan70=tan50+tan20/1-tan50tan20
tan70-tan70tan50tan20=tan50+tan20
tan70-tan20-tan50=tan70tan50tan20
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13 Aug 2007 16:39:34 IST
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yaaa.....the ques is incorrect. its a very popular question. came in our school exams also . u might have made a printing mistake in ur ques. X+ Y+ Z =  shud have been given.
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An optimist stays until midnight to see the new year ..a pessimist stays up to make the old year leaves... |
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13 Aug 2007 23:10:54 IST
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IF x,y,z are the angles,then x+y+z=0 tan (x+y+z)= tan 0 degree =0 or, (S1-S3)/1-S2 =0 [ by properties of triangle] so, S1= S3 or tan x+ tany+tan z=tanx. tany. tanz so the question is not wrong! PLZZZZZZZZZZZZZ.... DO RATE ME!!!
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21 Jul 2008 17:04:20 IST
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u know the formula???
ok..............a+b+c=pi
that means a+b=pi-c
take tan both sides.
tan (a+b)=tan(pi-c)
tan a + tan b /1 - tan a *tan b=-tan c
tan a + tan b= - tan c + tan a * tan b * tan c
tan a + tan b + tan c=tan a *tan b*tan c
hence proved
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