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Solve the trigonometric equation $4\cos\left(x\right)^2-3=0$

Step-by-step Solution

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Final answer to the problem

$x=\frac{1}{6}\pi+2\pi n,\:x=\frac{11}{6}\pi+2\pi n\:,\:\:n\in\Z$
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Step-by-step Solution

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We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $-3$ from both sides of the equation

$4\cos\left(x\right)^2=3$

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

$4\cos\left(x\right)^2=3$

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Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation 4cos(x)^2-3=0. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -3 from both sides of the equation. Divide both sides of the equation by 4. Removing the variable's exponent. Calculate the power \sqrt{\frac{3}{4}}.

Final answer to the problem

$x=\frac{1}{6}\pi+2\pi n,\:x=\frac{11}{6}\pi+2\pi n\:,\:\:n\in\Z$

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Function Plot

Plotting: $4\cos\left(x\right)^2-3$

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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.

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