# Step-by-step Solution

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## Step-by-step Solution

Problem to solve:

$2\cos\left(x\right)+\sqrt{3}=0$

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

$2\cos\left(x\right)=-\frac{3}{\sqrt{3}}$

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 2cos(x)+3^0.5=0. We need to isolate the dependent variable x, we can do that by subtracting \frac{3}{\sqrt{3}} from both sides of the equation. Divide both sides of the equation by 2. The angles where the function \cos\left(x\right) is -\frac{\sqrt{3}}{2} are. The angles expressed in radians in the same order are equal to.

$x=\frac{5}{6}\pi+2\pi n,\:x=\frac{7}{6}\pi+2\pi n$
$2\cos\left(x\right)+\sqrt{3}=0$