if cotxcot7x+cotxcot4x+cot4xcot7x=1 then general solution of x is?
if cotxcot7x+cotxcot4x+cot4xcot7x=1 then general solution of x is?
AMRIT DASH , 10 Years ago
Grade 11
Trigonometry> if cotxcot7x+cotxcot4x+cot4xcot7x=1 then ...
1 AnswersLab Bhattacharjee
Last Activity: 10 Years ago
Multiplyboth sides by tanx tan4x tan7x, tanx+tan4x+tan7x=tanx tan4x tan7x
Now tan(A+B+C)=( tanx+tan4x+tan7x-tanx tan4x tan7x)/(1- tanxtan4x-tan7x tan4x-tanx tan7x)
So, tan(x+4x+7x)=0, implies x+4x+7x=n pi where n is any integer
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