anonymous
  • anonymous
PLEASE HELP ME!!! I JUST NEED TO KNOW HOW TO DO THIS!! Verify the identity. cos(4u)=cos^2(2u) - sin^2(2u)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I made this trig sheet. http://learnix.net/wordpress/wp-content/uploads/Trig-Cheat-Sheet-1.4.pdf Can you see an identity on it that might fit this situation?
anonymous
  • anonymous
I'm really not sure how this is done. This is why I am asking how it can be done
anonymous
  • anonymous
check out on my sheet where it says Angle Sum and Difference Do you see the cosine one, which is second from top?

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anonymous
  • anonymous
yes? Could you please tell me how to do it?
anonymous
  • anonymous
like what steps would I take?
anonymous
  • anonymous
So what do we need to do to make cos(4u) to look like cos(x+y) where x and y are anything. Sorry for the delayed response too.
anonymous
  • anonymous
i don't know, please just explain to me
anonymous
  • anonymous
okay, so we can rewrite cos(4u) as cos(2u+2u) right?
anonymous
  • anonymous
yes
anonymous
  • anonymous
According to my cheat sheet you follow the right hand side of the equation now. Can you do that?
anonymous
  • anonymous
no, please just show me how to do it. I'm a visual learning
anonymous
  • anonymous
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Loser66
  • Loser66
\(cos (4u) = cos (2u+2u)\) ok?
anonymous
  • anonymous
okay, why?
Loser66
  • Loser66
not yet, be patient
anonymous
  • anonymous
you got it
Loser66
  • Loser66
cos (a+b) = cos acosb - sina sinb now, apply to your problem with a = 2u and b = 2u also you have : \(cos (4u) = cos (2u+2u) = cos (2u)cos (2u) - sin(2u) sin(2u) = cos^2 (2u) -sin^2 (2u)\) dat sit.
anonymous
  • anonymous
Thank you!!

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