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

Step-by-step Solution

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Final Answer

$\cos\left(x\right)\sin\left(x\right)$
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Step-by-step Solution

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

$\frac{\cos\left(x\right)^2}{\cot\left(x\right)}$
Why is 1 - sin(x)^2 = cos(x)^2 ?

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

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

Final Answer

$\cos\left(x\right)\sin\left(x\right)$

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Plotting: $\cos\left(x\right)\sin\left(x\right)$

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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

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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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