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Expand and simplify the trigonometric expression $\left(12\cos\left(3x\right)+6\cos\left(3x\right)^2+\cos\left(3x\right)^3\right)^2$

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

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

Tutorial - Simplify a trigonometric expression by factoring ex 26, 2(cosx)^2 + cosx - 3

https://www.youtube.com/watch?v=X35--yiv4Ms

Pre-Calculus - Factor and use fundamental identities to simplify, ((cosx)^2 -4)/(cosx - 2)

https://www.youtube.com/watch?v=D0UPURfyahI

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

Function Plot

Plotting: $144\cos\left(3x\right)^2+144\cos\left(3x\right)^{3}+60\cos\left(3x\right)^{4}+12\cos\left(3x\right)^{5}+\cos\left(3x\right)^{6}$

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x
y
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.
(◻)
+
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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

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

1. See formulas

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