owlghuieMa6riel4 owlghuieMa6riel4
  • 19-11-2016
  • Mathematics
contestada

prove:
tan 70° = tan 20° + 2tan 50°

Respuesta :

Jieep
Jieep Jieep
  • 19-11-2016
As we all know,
According to the trigonometric identity,
tan70=tan(20+50)
tan70=(tan20+tan50)/1-tan20tan50
tan70-tan20tan50tan70=tan20+tan50
Also tan70tan20=tan70cot70=1
Hence
tan70-tan50=tan20+tan50
So tan70=tan20+2tan50
Hope this helps :) :)
Answer Link
syed514
syed514 syed514
  • 20-11-2016
tan(70-20)=tan50
 tan70-tan20/1+tan20 tan70=tan50
 tan20 tan70=cot70 tan70=1
 tan70-tan20/2=tan50
 tan70-tan20=2tan50
 tan70=tan20+2tan50
Answer Link

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