# Step-by-step Solution

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## Step-by-step Solution

Problem to solve:

$\tan\left(2x\right)=1$

Learn how to solve trigonometric equations problems step by step online.

$\frac{\sin\left(2x\right)}{\cos\left(2x\right)}=1$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation tan(2*x)=1. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Multiply both sides of the equation by \sin. Multiplying the fraction by \sin\left(x\right). Multiply both sides of the equation by \cos\left(2x\right).

$x=0+2\pi n,\:x=\pi+2\pi n,\:x=0$
$\tan\left(2x\right)=1$