Simplify the trigonometric expression $\frac{-\sin\left(-x\right)\cos\left(-x\right)\sec\left(x\right)\csc\left(x\right)}{\tan\left(x\right)}$

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Proof why tan(x) = sin(x)/cos(x)

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Derivatives of sec(x) and csc(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=TDJ5nXWEkWM

Function Plot

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

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x
y
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.
(◻)
+
-
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◻/◻
/
÷
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: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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