1. anonymous

what do you want to do with it?

2. anonymous

solve for x

3. anonymous

$\sqrt 3 \tan (2x) = 0$ first step divide both sides by $$\sqrt{3}$$ what do you get?

4. y2o2

x = 0 or x = 180

5. anonymous

so tan2x=-1/sqrt(3)

6. anonymous

nope. $\tan (2x) =\frac {0}{\sqrt3}$ now simplify this

7. anonymous

oh dear! sorry i didnt realise! The question is sqrt(3) tan2x+1=0

8. anonymous

sorry!

9. anonymous

haha..then you're right $\tan(2x) =-\frac{1}{\sqrt 3}$

10. anonymous

now second step. take the arctangent of both sides

11. anonymous

ok so pi/6?

12. anonymous

remember that negative sign...and it's not yet over

13. anonymous

how does the negative affect it?

14. anonymous

well it doesnt affect that much

15. anonymous

how do you mean?

16. anonymous

|dw:1342705038280:dw|

17. anonymous

oh ok so when you say take the arctangent, where do you go from there?

18. anonymous

so $2x = -\frac{\pi}{6}$ now you divide both sides by 2

19. anonymous

ok so x= =pi/12

20. anonymous

-pi/12

21. anonymous

yup

22. anonymous

is this one of the answers?

23. anonymous

what do you mean?

24. anonymous

well there are 4 values for x right?

25. anonymous

because there was a 2 between the tan and the x, which compresses the tan graph

26. anonymous

i cant remember that part...is it adding $$\pi$$ or $$2\pi$$

27. anonymous

what do you mean 2 between tan and x..tan (2x)?

28. anonymous

yeah, thats what i meant tan2x

29. anonymous

30. anonymous

31. anonymous

Thank you for your help so far!!

32. anonymous

what does amistre64 say?

33. anonymous

i dont think he's coming yet...i tried tagging him to come here...

34. anonymous

let me call a different one..he might be afk

35. anonymous

Thank you :)

36. anonymous

@apoorvk pls help

37. anonymous

just add pi to the solution and it wont matter.

38. anonymous

so 11pi/12?

39. anonymous

yep i do think its another answer.

40. anonymous

thanks @vamgadu you saved me there heh

41. anonymous

yes thank you! :)

42. anonymous

its my pleasure @lgbasallote

43. anonymous

however, in the back of my text book the answers are 5pi/12 11pi/12 17pi/12 and 23pi/12

44. anonymous

and im wondering how my magic maths textbook got there

45. anonymous

so we are going good with the 11pi/12 :D

46. anonymous

and if pi is added again, we get 23pi/12 which is also good!

47. anonymous

you're doing right. so is there a further problem?

48. anonymous

well there are sposed to be 4 answers

49. anonymous

50. anonymous

i have 2 :)

51. anonymous

2?

52. anonymous

subtract a pi, if want int he interval, [-2pi,2pi]

53. anonymous

well i have 11pi/12 and 23pi/12

54. anonymous

-pi/12 and -13pi/12

55. anonymous

so 11pi/12-pi?

56. anonymous

-pi/12 - pi

57. anonymous

11pi/12 - pi is -pi/12 (bringing you back to the orig thingy)

58. anonymous

thats not one of the answers :?

59. phi

You started with 2x= -pi/6 if we call 2x theta, we have 2 solutions: |dw:1342706814544:dw| and x is 5pi/12 and 11pi/12 now add pi to each value to get the other 2 solutions or , noting that 2x+pi divided by 2 is x+pi/2 , add multiplies of pi/2 to get all four solutions starting with -pi/12 (which is 11pi/12 in the interval [0, 2pi] )

60. anonymous

can this be done on a tan graph?