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Simplify the expression $\frac{1-\cos\left(2x\right)}{x^2}$

Step-by-step Solution

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Final answer to the problem

$\frac{2\sin\left(x\right)^2}{x^2}$
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Step-by-step Solution

How should I solve this problem?

  • Choose an option
  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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1

Use the trigonometric identity: $1-\cos\left(2x\right)=2\sin\left(x\right)^2$

$\frac{2\sin\left(x\right)^2}{x^2}$

Final answer to the problem

$\frac{2\sin\left(x\right)^2}{x^2}$

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Function Plot

Plotting: $\frac{2\sin\left(x\right)^2}{x^2}$

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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

How to improve your answer:

Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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