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# Simplify the trigonometric expression $\frac{\frac{\frac{1-\cos\left(a\right)}{\sin\left(a\right)}}{\sin\left(a\right)}}{1-\cos\left(a\right)}$

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##  Final answer to the problem

$\csc\left(a\right)^2$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Find the derivative
• Integrate using basic integrals
• Verify if true (using algebra)
• Verify if true (using arithmetic)
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
Can't find a method? Tell us so we can add it.
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Divide fractions $\frac{\frac{\frac{1-\cos\left(a\right)}{\sin\left(a\right)}}{\sin\left(a\right)}}{1-\cos\left(a\right)}$ with Keep, Change, Flip: $\frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}$

$\frac{\frac{1-\cos\left(a\right)}{\sin\left(a\right)}}{\sin\left(a\right)\left(1-\cos\left(a\right)\right)}$

Learn how to solve simplify trigonometric expressions problems step by step online.

$\frac{\frac{1-\cos\left(a\right)}{\sin\left(a\right)}}{\sin\left(a\right)\left(1-\cos\left(a\right)\right)}$

Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression (((1-cos(a))/sin(a))/sin(a))/(1-cos(a)). Divide fractions \frac{\frac{\frac{1-\cos\left(a\right)}{\sin\left(a\right)}}{\sin\left(a\right)}}{1-\cos\left(a\right)} 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}. Divide fractions \frac{\frac{1-\cos\left(a\right)}{\sin\left(a\right)}}{\sin\left(a\right)\left(1-\cos\left(a\right)\right)} 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}. Simplify the fraction \frac{1-\cos\left(a\right)}{\sin\left(a\right)^2\left(1-\cos\left(a\right)\right)} by 1-\cos\left(a\right). Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}.

##  Final answer to the problem

$\csc\left(a\right)^2$

##  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

SnapXam A2

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7
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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

###  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.