Solve `tan theta+tan 2 theta+sqrt(3) tan theta tan 2 theta = sqrt(3)`.
Text Solution
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`tan theta+tan 2 theta+sqrt(3) tan theta tan 2 theta=sqrt(3)` or `tan theta+tan 2 theta=sqrt(3) (1- tan theta tan 2 theta)` or `(tan theta+tan 2 theta)/(1- tan theta tan 2 theta)= sqrt(3)` or `tan 3 theta=sqrt(3)="tan" pi/3` `rArr 3 theta=n pi +pi/3, n in Z` or `theta=(n pi)/3+pi/9, n in Z`
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