tanx + tan2x + tan3x = 0 . Find General solution for x
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consider, 3x=2x+x
tan on b.s
tan(3x) = tan(2x+x) = (tan(2x)+tan(x))/(1-tan(2x).tan(x)) cross multiplying
tan(3x)-tan(x).tan(2x).tan(x)=tan(x)+tan(2x)+tan(3x)
•°• tanx+tan2x+tan3x = tanx.tan2x.tan3x .
hence, sum of tan of angles = product of tan of angles .
tan on b.s
tan(3x) = tan(2x+x) = (tan(2x)+tan(x))/(1-tan(2x).tan(x)) cross multiplying
tan(3x)-tan(x).tan(2x).tan(x)=tan(x)+tan(2x)+tan(3x)
•°• tanx+tan2x+tan3x = tanx.tan2x.tan3x .
hence, sum of tan of angles = product of tan of angles .
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