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## Spectrum 3 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

d ption correct

2. jishan

because tanx =tany then x=pi n+y

3. Spectrum

and?

4. Avva

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

right dear.......

6. Spectrum

so is it just d ?

7. Avva

yes doesn't it stated values of n ?

8. Spectrum

what?

9. Avva

n pi what are the values of n ?

10. Spectrum

i don't know?

11. Avva

well it should be positive integers multiplies of 30 (pi/6)

12. Spectrum

5pi/6 work?

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