anonymous
  • anonymous
Which of the following are solutions to (2tanx)/(1- tan^2x) = sqrt(3) more than one avaliable a. x = (pi/3) + nPI b. x = (2pi/3) + nPI c x = (5pi/6) + npi d. x = (pi/6) + nPI
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
d ption correct
anonymous
  • anonymous
because tanx =tany then x=pi n+y
anonymous
  • anonymous
and?

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anonymous
  • anonymous
you can notice that we are given the double angle formula for tan 2x so we can say that \[\tan 2x = \sqrt{3}\] we know that tan is only positive in the first and third quadrant on solving this \[\tan^{-1} \sqrt{3} = \frac{ \Pi }{ 3 }\] then the solution will be \[\frac{ \Pi }{ 6 }\]and its nPi multiplies so it will be d.
anonymous
  • anonymous
right dear.......
anonymous
  • anonymous
so is it just d ?
anonymous
  • anonymous
yes doesn't it stated values of n ?
anonymous
  • anonymous
what?
anonymous
  • anonymous
n pi what are the values of n ?
anonymous
  • anonymous
i don't know?
anonymous
  • anonymous
well it should be positive integers multiplies of 30 (pi/6)
anonymous
  • anonymous
5pi/6 work?

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