Find all solutions of the equation in the interval [0, 2pi). 3tan3x=tanx
B Brilaree123 New member Joined Jun 3, 2013 Messages 1 Jun 3, 2013 #1 Find all solutions of the equation in the interval [0, 2pi). 3tan3x=tanx
E eddybob123 New member Joined May 28, 2013 Messages 11 Jun 3, 2013 #2 Hint: use the identity tan3θ=3tanθ−tan3θ1−3tan2θ\displaystyle \tan{3\theta}=\frac{3\tan{\theta}-\tan^3{\theta}}{1-3\tan^2{\theta}}tan3θ=1−3tan2θ3tanθ−tan3θ then substitute a variable for tan(x) and solve for it.
Hint: use the identity tan3θ=3tanθ−tan3θ1−3tan2θ\displaystyle \tan{3\theta}=\frac{3\tan{\theta}-\tan^3{\theta}}{1-3\tan^2{\theta}}tan3θ=1−3tan2θ3tanθ−tan3θ then substitute a variable for tan(x) and solve for it.
