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

Step-by-step Solution

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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:

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

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

Unlock the first 2 steps of this solution!

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 2cos(x)+3^1/2=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

$x=\frac{5}{6}\pi+2\pi n,\:x=\frac{7}{6}\pi+2\pi n$
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Got another answer? Verify it!

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1
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5
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7
8
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

Tips on how to improve your answer:

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

Time to solve it:

~ 0.03 s

Related topics:

Trigonometric Equations