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

Step-by-step Solution

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Final Answer

$2\csc\left(2x\right)$
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Step-by-step Solution

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Divide fractions $\frac{\frac{\sin\left(x\right)}{\cos\left(x\right)}}{1-\cos\left(x\right)^2}$ with Keep, Change, Flip: $\frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}$

$\frac{\sin\left(x\right)}{\cos\left(x\right)\left(1-\cos\left(x\right)^2\right)}$

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$\frac{\sin\left(x\right)}{\cos\left(x\right)\left(1-\cos\left(x\right)^2\right)}$

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Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (sin(x)/cos(x))/(1-cos(x)^2). Divide fractions \frac{\frac{\sin\left(x\right)}{\cos\left(x\right)}}{1-\cos\left(x\right)^2} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Apply the trigonometric identity: 1-\cos\left(\theta \right)^2=\sin\left(\theta \right)^2. Simplify the fraction by \sin\left(x\right). Simplify \cos\left(x\right)\sin\left(x\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x).

Final Answer

$2\csc\left(2x\right)$

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Plotting: $2\csc\left(2x\right)$

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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: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

Used Formulas

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