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

Step-by-step Solution

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Final Answer

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

Problem to solve:

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

Specify the solving method

1

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.

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

Unlock the first 2 steps of this solution!

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

$\csc\left(a\right)^2$
SnapXam A2
Answer Assistant

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Got another answer? Verify it!

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1
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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

Useful tips on how to improve your answer:

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

Time to solve it:

~ 0.04 s