Expand and simplify the trigonometric expression $\cot\left(x\right)^2\left(\sec\left(x\right)^2-1\right)$

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Why cot(x) = cos(x)/sin(x) ?

https://www.youtube.com/watch?v=9FAYMmFc7WI

Tutorial - Simplify a rational trigonometric expression 24, ((sinx)^2 - (cosx)^2) / (1 - 2(cosx)^2)

https://www.youtube.com/watch?v=taFMJ3iNVhM

Pre-Calculus - How to simplify a trigonometric expression by squaring a binomial (sin(x)+cos(x))^2

https://www.youtube.com/watch?v=e5IczuZxvVI

Pre-Calculus - Simplify expressions using fundamental identities, (cosx)^2 ((secx)^2 - 1)

https://www.youtube.com/watch?v=yY2A3JwKBWI

Pre-Calculus - Simplify expressions using fundamental identities, (1 - (cosx)^2)(cscx)

https://www.youtube.com/watch?v=uJD9yyaSDm8

Simplifying basic trig identities - Math homework answers sec(x) (sin(x)/tan(x))

https://www.youtube.com/watch?v=JEv8uSt26bI

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◻/◻
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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.

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