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# Step-by-step Solution

## Solve the trigonometric equation $2\cos\left(x\right)+\sqrt{3}=0$

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### Videos

$x=\frac{5}{6}\pi+2\pi n,\:x=\frac{7}{6}\pi+2\pi n$

## Step-by-step Solution

Problem to solve:

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

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

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. Simplifying. 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, 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.

$x=\frac{5}{6}\pi+2\pi n,\:x=\frac{7}{6}\pi+2\pi n$
SnapXam A2

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5
6
7
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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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