👉 Try now NerdPal! Our new math app on iOS and Android

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

Step-by-step Solution

Go!
Math mode
Text mode
Go!
1
2
3
4
5
6
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

Final Answer

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

Step-by-step Solution

Specify the solving method

1

Calculate the square root of $3$

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

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

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

Unlock unlimited step-by-step solutions and much more!

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. Calculate the square root of 3. We need to isolate the dependent variable x, we can do that by simultaneously subtracting \sqrt{3} from both sides of the equation. Divide both sides of the equation by 2. Simplifying the quotients.

Final Answer

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

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Verify if true (using algebra)Verify if true (using arithmetic)

Give us your feedback!

Function Plot

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
1
2
3
4
5
6
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

How to improve your answer:

Main Topic: Trigonometric Equations

A trigonometric equation is an equation in which one or more trigonometric ratios appear.

Related Topics

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium features on our iOS and Android app.

Join 500k+ students in problem solving.

Subscription plan. Cancel anytime.
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account