anonymous
  • anonymous
tan^2 x = 1-cos2x/ 1+ cos2x true or false?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
That would be true. It' an identity.
anonymous
  • anonymous
It's not an identity. Does tan^2x = 1-(cos2x/1)? I'm certain it doesn't. It does, however, equal to (1-cos2x)/2. This is an example of a half-angle identity.
anonymous
  • anonymous
er....er

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anonymous
  • anonymous
\[\frac{ 1-\cos 2x }{ 1+\cos 2x }=\frac{ 1-(1-2\sin^2x) }{ 1+(2\cos^2x-1) }=\frac{ 2\sin^2x }{2\cos^2x }=\tan^2x\]
anonymous
  • anonymous
so its true.
anonymous
  • anonymous
um 0.0 :/
anonymous
  • anonymous
something wrong?
anonymous
  • anonymous
you guys are confusting me 0.o true or no?
anonymous
  • anonymous
the first i did was to use the double angle formula for sine and cosine. then it was simplified, then since the ratio of sine and cosine is tangent, then the next step is obvious.

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