Exercise
$3tan^2u-\sqrt{3}tanu=0$
Step-by-step Solution
Learn how to solve special products problems step by step online. Solve the trigonometric equation 3tan(u)^2-*3^(1/2)tan(u)=0. Factor the polynomial 3\tan\left(u\right)^2-\sqrt{3}\tan\left(u\right) by it's greatest common factor (GCF): \tan\left(u\right). Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations. Solve the equation (1). The angles where the function \tan\left(u\right) is 0 are.
Solve the trigonometric equation 3tan(u)^2-*3^(1/2)tan(u)=0
Final answer to the exercise
$u=0+\pi n,\:u=\pi+\pi n,\:u=\frac{1}{6}\pi+\pi n,\:u=\frac{7}{6}\pi+\pi n\:,\:\:n\in\Z$