Question

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

Answer 1

d ption correct

Answer 2

because tanx =tany then x=pi n+y

Answer 3

and?

Answer 4

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.

Answer 5

right dear.......

Answer 6

so is it just d ?

Answer 7

yes doesn't it stated values of n ?

Answer 8

what?

Answer 9

n pi what are the values of n ?

Answer 10

i don't know?

Answer 11

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

Answer 12

5pi/6 work?