Exercise
$\cos2x-\tan2x=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the trigonometric equation cos(2x)-tan(2x)=0. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Combine all terms into a single fraction with \cos\left(2x\right) as common denominator. Multiply both sides of the equation by \cos\left(2x\right). Applying the pythagorean identity: \cos^2(\theta)=1-\sin(\theta)^2.
Solve the trigonometric equation cos(2x)-tan(2x)=0
Final answer to the exercise
$x=,\:x=\:,\:\:n\in\Z$