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Simplify the trigonometric expression $\frac{\cot\left(x\right)}{\csc\left(x\right)}$

Step-by-step Solution

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Final Answer

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

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Applying the trigonometric identity: $\cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}$

$\frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\csc\left(x\right)}$
Why does cot(x) = cos(x)/sin(x) ?

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

$\frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\csc\left(x\right)}$

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Learn how to solve simplify trigonometric expressions problems step by step online. Simplify the trigonometric expression cot(x)/csc(x). Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. We can simplify the quotient of fractions \frac{\frac{\cos\left(x\right)}{\sin\left(x\right)}}{\frac{1}{\sin\left(x\right)}} by inverting the second fraction and multiply both fractions. Simplify the fraction \frac{\cos\left(x\right)\sin\left(x\right)}{1\sin\left(x\right)} by \sin\left(x\right).

Final Answer

$\cos\left(x\right)$

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

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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

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

2. See formulas

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