Exercise
$\tan\left(x\right)=\frac{4\sin\left(x\right)}{\cos\left(x\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation tan(x)=(4sin(x))/cos(x). Apply the trigonometric identity: \frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}=\tan\left(\theta \right). Grouping all terms to the left side of the equation. Combining like terms \tan\left(x\right) and -4\tan\left(x\right). Divide both sides of the equation by -3.
Solve the trigonometric equation tan(x)=(4sin(x))/cos(x)
Final answer to the exercise
$x=0+\pi n,\:x=\pi+\pi n\:,\:\:n\in\Z$