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chyanog
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How to expand tan(x+y) as normal form?

TrigExpand@Tan[x + y]

gives

$\frac{\sin (x) \cos (y)}{\cos (x) \cos (y)-\sin (x) \sin (y)}+\frac{\cos (x) \sin (y)}{\cos (x) \cos (y)-\sin (x) \sin (y)}$

but my excepted result is

$\frac{\tan (x)+\tan (y)}{1-\tan (x) \tan (y)}$

On the $\tan (x-y)$ or $\tan (3*x)$ is also the case, What should I do?

chyanog
  • 15.8k
  • 3
  • 41
  • 83