It,s cotan.trigo............:p

Geometry Level 2

if, a = x b = 2x c = 3x

then Find :-

cot(b)cot(a) - cot(c)cot(b) - cot(c)cot(a) = ?

0 1 sq.root of 3 1/sq.root of 3

Rohan Kumar by Rohan Kumar , 22, India

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3 solutions

Priyesh Pandey
Apr 8, 2014

since it is an identity eqn it will hold for all the allowed values of x in the functions domain thus by replacing x with any of its value in domain such as 45 degrees, 30..etc you can get the same result.

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Jayant Kumar
Mar 17, 2014

(1-tanAtanB)tan(A+B) = tanA+tanB, thereby --> Tan(A+B) - TanA - TanB = Tan(A+B)tanAtanB, put A=x,B=2x,C=3x and convert the question in terms of tanA,tanB&tanC by getting the denom'ntr as tanAtanBtanC

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convert to tan equation

(tan c - tan b - tan c ) /tan a tan b tan c = 1/tan x tan 3x = 1

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what?

Eka Kurniawan - 7 years, 2 months ago

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