thanhnghi5666 thanhnghi5666
  • 14-04-2022
  • Mathematics
contestada

Help me please. How to prove this ?
[tex] \frac{ \cos(x) + \sin(x) }{ \cos(x ) - \sin(x) } = \tan(45 + x) [/tex]
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Respuesta :

beinggreat78
beinggreat78 beinggreat78
  • 14-04-2022

Answer:

  • First, you want to divide the numerator and denominator by the cosine(x), and afterwards, it looks like this...

[tex]\frac{tan~x+1}{tan~x-1}[/tex]

  • Include 45 as one of the parameters and correlate with tan.

[tex]\frac{tan~x+tan~45}{tan~x-tan~45}[/tex]

  • Next, you want to multiply the numerator and denominator by the conjugate of the denominator, in this case, tan x + tan 45.
  • Lastly, simplify, and you have the answer as tan(45 + x)
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