anonymous
  • anonymous
simplify the expression (trig functions)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[f(\theta)=\frac{ 2\sin 4\theta }{ \cos 2\theta }-3\sin2\theta \]
hartnn
  • hartnn
you know the formula for sin 2x ? aplly it for sin 4theta
anonymous
  • anonymous
no. i don't. what is it?

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anonymous
  • anonymous
these are my answer choices: 1. f(θ) = sin2θ 2. f(θ) = 2cos2θ+3sin2θ 3. f(θ) = 7sin2θ 4. f(θ) = 5sin2θ 5. f(θ) = −sin2θ 6. f(θ) = 2cos2θ−3sin2θ
hartnn
  • hartnn
sin 2x = 2 sin x cos x so, sin 4thetha = sin 2 (2theta) = .... ?
hartnn
  • hartnn
confused ?
anonymous
  • anonymous
cos2(theta)
hartnn
  • hartnn
whats cos 2 theta ? could you apply the formula in sin 4theta ?
anonymous
  • anonymous
is it 2cos2θ−3sin2θ ??
hartnn
  • hartnn
nopes, sin x = 2 sin x cos x so, sin 4theta = sin 2(2theta) = 2 sin (2theta) cos(2theta) makes sense ?
anonymous
  • anonymous
okayyy.
hartnn
  • hartnn
now what gets cancelled out ?
anonymous
  • anonymous
cos2(theta)
hartnn
  • hartnn
correct :) what remains ?
anonymous
  • anonymous
2sin(2theta)-3sin(2theta)
anonymous
  • anonymous
but that's not any of my answer choices :/
hartnn
  • hartnn
oh, i think you forgot a 2 2 (2 sin theta)-3 sin theta
anonymous
  • anonymous
@hartnn wait..I don't know which answer it is!
hartnn
  • hartnn
you found out that you forgot a 2 there ? 2 (2 sin 2theta)-3 sin 2theta = (4-3) sin 2theta
hartnn
  • hartnn
got that ? next step can't be easier...
anonymous
  • anonymous
sin2theta. yeah you were pretty clear. thanks
anonymous
  • anonymous
Goku?
hartnn
  • hartnn
welcome ^_^ yes, slamma?
anonymous
  • anonymous
Can you blow up Earth?
hartnn
  • hartnn
umm..yeah, it would take me few seconds though...
anonymous
  • anonymous
You need Vegeta to turn into ssj4, I am the Omega Shenron. UMADBRO?!
hartnn
  • hartnn
oh, not mad at all, good for you!

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