moreorlessavy23 moreorlessavy23
  • 12-05-2020
  • Mathematics
contestada

Which of the following is equivalent to tan(44˚)+tan(55˚)1−tan(44˚)tan(55˚)?

Question 7 options:

tan(−99˚)

tan(99˚)

tan(11˚)

tan(−11˚)

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-05-2020

Answer:

  tan(99°)

Step-by-step explanation:

It looks like you may have attempted to write the sum of angles formula for tangent. That would be ...

  tan(α+β) = (tan(α) +tan(β))/(1 -tan(α)tan(β)) . . . . . . . parentheses are required

Your expression seems to match this for α = 44° and β = 55°. So, the equivalent is ...

  tan(44°+55°) = tan(99°)

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