Exercise
$\frac{1}{\cot\left(x\right)^2}+\sqrt{3}\tan\left(x\right)=0$
Step-by-step Solution
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 1/(cot(x)^2)+3^(1/2)tan(x)=0. Applying the trigonometric identity: \frac{1}{\cot\left(\theta\right)}=\tan\left(\theta\right). Factor the polynomial \tan\left(x\right)^2+\sqrt{3}\tan\left(x\right) by it's greatest common factor (GCF): \tan\left(x\right). Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations. Solve the equation (1).
Solve the trigonometric equation 1/(cot(x)^2)+3^(1/2)tan(x)=0
Final answer to the exercise
$x=0+\pi n,\:x=\pi+\pi n,\:x=0\:,\:\:n\in\Z$