deenavedo deenavedo
  • 19-07-2020
  • Mathematics
contestada

tan 9x - tan 5x/ 1+ tan 9x tan 5x

Respuesta :

jimrgrant1 jimrgrant1
  • 19-07-2020

Answer:

tan 4x

Step-by-step explanation:

Note the difference identity for tangent ratio is

tan(x - y) = [tex]\frac{tanx-tany}{1+tanxtany}[/tex]

Given

[tex]\frac{tan9x-tan5x}{1+tan9xtan5x}[/tex] ← in the form of the right side of the expansion, thus

= tan(9x - 5x)

= tan 4x

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