Final Answer
$x=\frac{5}{6}\pi+2\pi n,\:x=\frac{7}{6}\pi+2\pi n$
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Step-by-step Solution
Problem to solve:
$2\cos\left(x\right)+\sqrt{3}=0$
1
The square root of $3$ is $\sqrt{3}$
$2\cos\left(x\right)+\sqrt{3}=0$
Learn how to solve trigonometric equations problems step by step online.
$2\cos\left(x\right)+\sqrt{3}=0$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 2cos(x)+3^0.5=0. The square root of 3 is \sqrt{3}. We need to isolate the dependent variable x, we can do that by subtracting \sqrt{3} from both sides of the equation. Eliminate the 2 from the left side, multiplying both sides of the equation by the inverse of 2. The angles where the function \cos\left(x\right) is -\frac{\sqrt{3}}{2} are.
Final Answer
$x=\frac{5}{6}\pi+2\pi n,\:x=\frac{7}{6}\pi+2\pi n$