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PLZ HELP#VERYCONFUSED rewrite each expression in term with no power greater than 1

Mathematics
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\[\cos ^{3}\]
cos^3theta
\[\cos ^{3}\theta \]

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Other answers:

it is simply \[\cos(\theta)\cos(\theta)\cos(\theta)\]
no i have to use like identities
ex if it is sin ^4 u do sin2)^2 and then you put the identitiy for sin^2 and then solve
but i have no idea how to do this
Hmm I'm not familiar with any identities that decrease the power on trig functions. Are you sure it wasn't suppose to be \(cos (3\theta)\) ?
yes i am sure but thanks
well start with \[\cos(\theta) (\cos^2(\theta)) = \cos(\theta)(1 - \sin^2(\theta))\]
hmmm k
Oh I guess we could use the Half-Angle Formulas to decrease power. I somehow forgot about those when I made my last comment :) lol
Here's a helpful identity we can use. \[\large \color{royalblue}{\cos^2x=\frac{1+\cos2x}{2}}\]
yeah u are right i will have to use the power reducing identities
yeah i started by using that but i don't know what to do after that step
\[\large \cos^3x\quad =\quad \cos x \color{royalblue}{\cos^2 x} \quad = \quad \cos x \color{royalblue}{\frac{1+\cos2x}{2}}\]
Im not sure if that's exactly what you're looking for. But something to notice here is that we no longer even have a squared cosine, since the two cosines we're left with have different INSIDES, we can't combine them that way.
yes i am looking for this but i think it is OK i will ask my teacher. but thanks both of u for ur help!!!

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