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Simplify the trigonometric expression $\tan\left(x\right)+\cot\left(x\right)$

Used Formulas

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Solution

Formulas

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Trigonometric Identities

$\tan\left(\theta \right)=\frac{\sin\left(\theta \right)}{\cos\left(\theta \right)}$
$\cot\left(\theta \right)=\frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}$
· Pythagorean identity of sine and cosine
$\sin\left(\theta \right)^2+\cos\left(\theta \right)^2=1$

Function Plot

Plotting: $\frac{2}{\sin\left(2x\right)}$

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◻/◻
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◻2
◻◻
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◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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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Similar Problems Solved

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

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

$\frac{2+\tan^2\left(x\right)}{\sec^2\left(x\right)}-1$

$\frac{2+tan^2x}{sec^2x}-1$

$\frac{1+\tan\left(x\right)}{1+\cot\left(x\right)}$

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

$\tan\left(x\right)+\cot\left(x\right)$

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

See formulas (3)

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