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Spectrum

  • 2 years ago

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

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  1. jishan
    • 2 years ago
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    d ption correct

  2. jishan
    • 2 years ago
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    because tanx =tany then x=pi n+y

  3. Spectrum
    • 2 years ago
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    and?

  4. Avva
    • 2 years ago
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    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.

  5. jishan
    • 2 years ago
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    right dear.......

  6. Spectrum
    • 2 years ago
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    so is it just d ?

  7. Avva
    • 2 years ago
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    yes doesn't it stated values of n ?

  8. Spectrum
    • 2 years ago
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    what?

  9. Avva
    • 2 years ago
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    n pi what are the values of n ?

  10. Spectrum
    • 2 years ago
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    i don't know?

  11. Avva
    • 2 years ago
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    well it should be positive integers multiplies of 30 (pi/6)

  12. Spectrum
    • 2 years ago
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    5pi/6 work?

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