Simplify the trigonometric expression $\frac{\cos\left(cx\right)}{1+\cos\left(cx\right)}+\frac{-\cos\left(cx\right)}{1-\cos\left(cx\right)}$

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Final answer to the problem

$\frac{-2\cos\left(cx\right)^2}{\sin\left(cx\right)^2}$
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The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors

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$\begin{array}{l}L.C.M.=\left(1+\cos\left(cx\right)\right)\left(1-\cos\left(cx\right)\right) \\ L.C.M.=1-\cos\left(cx\right)^2 \\ L.C.M.=\sin\left(cx\right)^2\end{array}$

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Learn how to solve factorization problems step by step online. Simplify the trigonometric expression cos(cx)/(1+cos(cx))+(-cos(cx))/(1-cos(cx)). The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors. Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete. Simplify the numerators. Combine and simplify all terms in the same fraction with common denominator \sin\left(cx\right)^2.

Final answer to the problem

$\frac{-2\cos\left(cx\right)^2}{\sin\left(cx\right)^2}$

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Function Plot

Plotting: $\frac{-2\cos\left(cx\right)^2}{\sin\left(cx\right)^2}$

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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: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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