anonymous
  • anonymous
Simplify cos2 θ(1 + tan2 θ)
Mathematics
chestercat
  • chestercat
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welshfella
  • welshfella
sorry thats tan 2O = sin 2O / cos 2O
anonymous
  • anonymous
yes ok
welshfella
  • welshfella
Oh hold on is that cos two theta or cos theta squared?

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anonymous
  • anonymous
cos squared theta
welshfella
  • welshfella
right so we have cos^2 θ ( 1 + sin^2 θ / cos^2 θ) = cos^2 θ + sin^2 θ = ?
welshfella
  • welshfella
do you know that last identity?
anonymous
  • anonymous
tan 2 theta?
welshfella
  • welshfella
cos squared theta + sin squared theta = ?
anonymous
  • anonymous
it equals 1
welshfella
  • welshfella
? = some number
anonymous
  • anonymous
1
welshfella
  • welshfella
right thats it
welshfella
  • welshfella
- couldn't be much simpler than 1

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