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Grade 12Trigonometry

IN a traingle A,B AND C.then proove TANA +TANB+TANC=?

Profile image of Gowri sankar
10 Years agoGrade 12
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12 Answers

Profile image of SAI SARDAR
ApprovedApproved Tutor Answer10 Years ago
Gowri Sankar, In triangle abc a+b+c=180 then tan a + tan b + tanc = tanatanbtanc.It is from trigonametric identity.
Profile image of Prabhakar ch
10 Years ago
Dear Gowri Shankar
                                It would prove by some trignometric idinaties
This image tells how to proove that formulae
All the best for your bright future
Profile image of N JYOTHEESWAR
10 Years ago
dear gowrisankar
                        the total angle in the triangle is 180.in triangle a+b+c=180. then the angles tana+tanb+tanc=180.ie .. tanatanbtanc.this is from trigonometric identities.
Profile image of T.kumar
10 Years ago
dear gowri shankar ,
                                  in this triangle a b c total angels is 180 indiviusally one is 60. 2nd is 60. 3rd is 60. all the best.
Profile image of Gaddam Chethan
10 Years ago
Hello Gowri
                      we know that a+b+c=180. with these tanA+tanB+thaC=tanAtanBtanC. Aee the best for your bright future.
Profile image of raj
10 Years ago
hellow gowrishankar if A,B and C in a triangle then tanA+tanB+tanC=tanA .tanB.tanC this is proves through angles of trigonametri.
Profile image of NAGOORVALI
10 Years ago
dear friend in triangle abc tana+tanb+tanc=tanatanbtanc you try this way in triangle a+b+c=180 then b+c=180-a apply tan on both sides
Profile image of sreekanth sree
10 Years ago
hello gowri sankar we know that the total angle in the triangle is 180,a+b+c=180,tan a+tan b+tan c=tan a tan b tan c.this is trignometric identities.
Profile image of sudarshan
10 Years ago
In triangle abc a+b+c=180 then tan a + tan b + tanc = tanatanbtanc.It is from trigonametric identity.
 
Profile image of naresh raju
10 Years ago
DEAR GOWRI,
IN the triangle A,B and C  A+B+C=180 then tanA+tanB+tanC=tanAtanBtanC.it could be solved by some trignometriv identities.
Profile image of Dheeru chowdary
10 Years ago
mr.gowri,
    it can be proved by using a+b+c=180.,
           and the answer is tanAtanBtanC which is an trignometry identity
 
Profile image of Praveen
9 Years ago
tan(a+b+c)=(tan a+tan b+tan c – tana*tanb*tanc) /(1 - tan a *tan b – tan*b tanc- tan a*tanc)
 since
     a+b+c=180, so tan(a+b+c)=0,
then
tan a+tan b+tan c – tana*tanb*tanc=0
tan a+tan b+tan c = tana*tanb*tanc