## Venomblast 2 years ago i need one last help

1. koda10

|dw:1355995034204:dw|

2. Venomblast

2sin(theta)^2+square root of 3 times sine (theta)=0

3. hartnn

$$2\sin^2 x+\sqrt{3sin x}=0$$ right ?>

4. Venomblast

for some reason tis site is not letting use the equation button

5. waterineyes

$2 \sin^2(\theta) + \sqrt{3 \cdot \sin(\theta)} = 0$

6. waterineyes

7. Venomblast

$2sine(\theta)^{2}+\sqrt{3}sine(\theta)=0$ i got for theta 0, 180, and 300

8. hartnn

sin x(2sin x+sqrt 3)=0 sin x = 0 ---- > x=0,180,360 sin x =-sqrt 3/2 ----> x=.... ?

9. Venomblast

what? i am, lost

10. Venomblast

i got -60

11. waterineyes

$\sin x(2\sin x+\sqrt{ 3})=0$ Here just put the factors equal to 0 separately..

12. Venomblast

0 and 360 is the same exaxt degree. there suppose to be 4 solutions

13. waterineyes

$\sin(-60) = - \frac{\sqrt{3}}{2}$ Yes you are right..

14. Venomblast

then you add 360. you get back to 300.

15. hartnn

yes, u get 2 solutions for sin x = -sqrt 3/2

16. waterineyes

Generally you can find them using : $x = n \pi + (-1)^n y$

17. Venomblast

whar are the 2 solution? i only can get 3. how u get the 4th one?"

18. waterineyes

See here : $\sin(x) = \sin(-\frac{\pi}{3})$

19. waterineyes

So : According to that general form : $x = n \pi + (-1)^n (-\frac{\pi}{3})$

20. waterineyes

Now, here n is an integer, you can put n = 1, 2,3 etc or you can put -1, -2 -3 etc.. To find the required solution..

21. Venomblast

i domt see anything o.o

22. waterineyes

For example : Put n = 0 here : $x = - \frac{\pi}{3}$

23. waterineyes

Again refresh your page so see here LATEX..

24. Venomblast

i did

25. Venomblast

man i onmly got 3 degrees

26. waterineyes

What you got as your solutions tell me?

27. Venomblast

0, 180 and 300

28. waterineyes

Wait, put n= 2 there and tell me what are you getting??

29. waterineyes

Is there any range given to you in which you are to find these solutions?? Like 0 to 360..

30. waterineyes

Are you not getting 240 as one of its solutions?

31. waterineyes

Not interested in replying ?? @Venomblast

32. Venomblast

that what im looking for. i got 0 which is the same as 360 degrees and 180

33. Venomblast

openstudy didnt want to put up my post for like 8 min

34. waterineyes

Is there any range in which you are to find the solutions or not??

35. Venomblast

can you tell me the solution. im so sleepy. i dont know the answer and i really want ot know but it 5:06 am

36. waterineyes

Yes I am telling you the answer..

37. Venomblast

then what is it?

38. waterineyes

So, when you will wake up and come on openstudy next time, answer I will tell you then definitely.. So sleep well...

39. Venomblast

just tell me. i have to hand this in.

40. waterineyes

I do not have power to tell you the answer only.. I have given you the formula above just put up the values of n there you will surely have your answer..

41. Venomblast

im not use to thqt formula. you learn it differently from me

42. waterineyes

Sorry, if you want help then I can help you.. So, try to understand what I am saying to you..

43. waterineyes

I agree I have studied it different from you... But what is the problem you are facing in using the formula, tell me..

44. waterineyes

See, if you do it now on your own, then next time you need not to ask it from anybody.. So, keep it up and solve it, I know you can do.. When problem you will face, then let me know..

45. Venomblast

i dont understand it

46. Venomblast

i did do it on my own. dude. i got 3 answes out of 4.i havnt slept yet and my next class is at 8 am

47. waterineyes

I am just saying you to just put n = 2 here : $x = n \pi + (-1)^n (- \frac{\pi}{3})$

48. waterineyes

See, if your next class is at 8 am, then it is not my fault.. I can't do anything in this...

49. Venomblast

i never seen this formula in my life.

50. waterineyes

But you will see surely and soon..

51. Venomblast

how do u know. i leanr it differenltly. i cutally have to draw the circle

52. waterineyes

See, I tell you how you got 300 there : Put n= 2 here : $x = (2) \pi + (-1)^2 (-\frac{\pi}{3})$ $x = 2\pi - \frac{\pi}{3} \implies \color{red}{x = \frac{5 \pi}{3} = 300}$

53. waterineyes

Now, simply put n = 1 in the formula to get the required solution..

54. Venomblast

woa.. but i told you already. i already got 300 as my asnwer|dw:1355998903609:dw|

55. waterineyes

56. Venomblast

woa.. but i told you already. i already got 300 as my asnwer

57. Venomblast

this website need to be better

58. hba

@waterineyes Good for nothing. Ha Ha Ha...

59. waterineyes

I just showed you, mathematically How you got 300..

60. Venomblast

ok. but how you get the rest. i just need 1 more degree

61. waterineyes

Dear, put n = 1 there in the formula.. Why aren't you plugging n = 1 there ??

62. Venomblast

bnut that will jsut get me 300no?

63. hba

@waterineyes You are not helping Ha Ha Ha,...

64. waterineyes

No, that will not give you 300.. Try that once.

65. waterineyes

Yeah.. But I am still trying..

66. waterineyes

He has done everything, but he does not want to put n = 1 there..

67. hba

$x = (2) \pi + (-1)^2 (-\frac{\pi}{3})$ put n=1 @Venomblast

68. Venomblast

2pi/3

69. waterineyes

$x = (1) \pi + (-1)^1 (-\frac{\pi}{3})$

70. Venomblast

-2pi/3

71. waterineyes

$x = \pi + \frac{\pi}{3} = ??$

72. hba

4/3 pi *

73. waterineyes

Nice @hba $\frac{4 \pi}{3} = ??$

74. hba

4*180/3=

75. Venomblast

i need the degree. not the redian.

76. Venomblast

nvm i will just ask someon eelse.

77. hba

240 degree.

78. waterineyes

I am just saying convert that radian into degrees..

79. Venomblast

that maa work. why cant u justuse the circle.

80. waterineyes

I think, @hba is more helpful than me..

81. hba

@Venomblast what ?

82. hba

@waterineyes I am useless lol :D Not helpful :P

83. Venomblast

how u got 240. did you add 180 or something? becuase it has to be in quad 3 right. but how?

84. waterineyes

See : $\frac{\pi}{3} = 60$ Right ??

85. Venomblast

i had -60. so i added 360. and i got 300 degrees. so now how did you get 240?

86. hba

It is in 3rd quad. |dw:1356000009002:dw|

87. Venomblast

sorry i dont use radians to figure this problem. i told u . i use the actualt cricle

88. Venomblast

|dw:1356000136227:dw| but how you got 240?

89. waterineyes

simple buddy.. 300 - 60 = 240. Ha ha ha ha @hba

90. waterineyes

Tell me sine is negative in which quadrants??

91. hba

@waterineyes Let me summarize trig Ha Ha Ha...

92. hba

|dw:1356008695751:dw|

93. Aryang

|dw:1356009445331:dw|

94. amistre64

wow, that was almost too painful to read ;)

95. hba

@amistre64 lol :P