6 Give the absolute value of
603 4-7 () - Gou) O SVE
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Hey here is yor answer_______________
let A+B+C = 180° ,
we have show that,
cot A cotB + cotBcotC +cotC cotA=1
since A+B+C = 180°
implies A + B = 180°- C
implies tan(A + B) = tan(180°- C)
using trigonometry formulae
tan(A + B) = -tan(C)
therefore
[tanA +tanB] / [1-tanAtanB ] = -tanC
cross multiplying
tanA +tanB = -tanC[1-tanAtanB ]
tanA +tanB = -tanC +tanAtanBtanC
or
tanA +tanB + tanC = tanAtanBtanC
divide each term with tanAtanBtanC we get
cot A cotB + cotBcotC +cotC cotA=1
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