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burhan101

  • 2 years ago

Tell me what i'm doing wrong, picture is attached.

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  1. burhan101
    • 2 years ago
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  2. Skaematik
    • 2 years ago
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    3rd to 4th line - the numerator shows s^3 but a c appeared

  3. Dido525
    • 2 years ago
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    You also made a mistake on the RHS. You can't cross out the sin's and cos's like that.

  4. Dido525
    • 2 years ago
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    Instead there is a trig identity there.

  5. burhan101
    • 2 years ago
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    how do i fix this ? :S

  6. Dido525
    • 2 years ago
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    There is a trig identity on the RHS.

  7. Skaematik
    • 2 years ago
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    At the 4th line, try combining the denominator

  8. Dido525
    • 2 years ago
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    |dw:1353385333795:dw|

  9. burhan101
    • 2 years ago
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    Doesnt the denominator get cancelled out already ?

  10. burhan101
    • 2 years ago
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    @Dido525 like this |dw:1353385466311:dw|

  11. Dido525
    • 2 years ago
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    |dw:1353385495522:dw|

  12. burhan101
    • 2 years ago
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    |dw:1353385573816:dw|

  13. Dido525
    • 2 years ago
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    Yeah that's right.

  14. Skaematik
    • 2 years ago
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    For the left hand side, from the 3rd line, combine the denominator Then, factor the numerator This will allow you to use a trig identity to prove the original equation

  15. Dido525
    • 2 years ago
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    I misread sorry.

  16. burhan101
    • 2 years ago
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    it's okay, but is that way correct now ?

  17. Skaematik
    • 2 years ago
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    yes its right

  18. Dido525
    • 2 years ago
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    Yes that is correct.

  19. burhan101
    • 2 years ago
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    @Skaematik like this |dw:1353385871631:dw|

  20. Skaematik
    • 2 years ago
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    no

  21. Skaematik
    • 2 years ago
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    \[\frac{ s ^{4}+c ^{4}+2s ^{2}c ^{2} }{ cs }\]

  22. burhan101
    • 2 years ago
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    i'm having difficulties seeing how it get's the fourth power, can you please explain

  23. Dido525
    • 2 years ago
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    @burhan101 : TO be honest I would only change ONE side to try and make it equal to the other not manipulate both.

  24. Skaematik
    • 2 years ago
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    \[\frac{ s ^{2}s }{ c } + \frac{ c ^{2}c }{ s } + 2s\]

  25. Skaematik
    • 2 years ago
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    Make the denominator cs Multiply 1st term by s Multiply 2nd term by c Multiply 3rd term by cs

  26. Skaematik
    • 2 years ago
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    @dido525 changing the RHS is perfectly OK, in most cases it is actually the only way you can solve the problem without spending 234098723094 hours trying to go through ridiculous transformations

  27. Dido525
    • 2 years ago
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    Meh.

  28. burhan101
    • 2 years ago
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    @Dido525 yes, that's what my teacher want's us to try to do too, but im having alot of problems with this question, seems very complicated -.-

  29. Dido525
    • 2 years ago
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    Ohh!!! Hold on I am getting close!

  30. burhan101
    • 2 years ago
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    Okay :)

  31. Dido525
    • 2 years ago
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    Got it!!!!!

  32. Dido525
    • 2 years ago
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    And I only changed one side :) .

  33. Dido525
    • 2 years ago
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    Okay. The idea is we want to start with the complicated side. Lets choose the left side.

  34. Dido525
    • 2 years ago
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    Okay?

  35. burhan101
    • 2 years ago
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    okay !

  36. burhan101
    • 2 years ago
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    should we start fresh, from the given problem ?

  37. Dido525
    • 2 years ago
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    yes :) .

  38. burhan101
    • 2 years ago
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    Alrightt !

  39. Dido525
    • 2 years ago
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    So we have: |dw:1353386616775:dw|

  40. Dido525
    • 2 years ago
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    You know:|dw:1353386673693:dw|

  41. burhan101
    • 2 years ago
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    yup

  42. Dido525
    • 2 years ago
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    I would change the sin^2(x) and cos^2(x) To match that formula :) .

  43. burhan101
    • 2 years ago
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    Ohhh okay !

  44. Dido525
    • 2 years ago
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    Tell me what you get.

  45. burhan101
    • 2 years ago
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    |dw:1353386849843:dw| DO we change that into a one, or no ?

  46. burhan101
    • 2 years ago
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    i think i'm wrong -_-

  47. Dido525
    • 2 years ago
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    No you do not change that to a one.

  48. burhan101
    • 2 years ago
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    okay so first we change everything to sin & cos

  49. Dido525
    • 2 years ago
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    Well if sin^2(x) + cos^(x) =1 that what is Sin^2(x) equal to?

  50. Dido525
    • 2 years ago
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    No no!!!

  51. Dido525
    • 2 years ago
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    We want to keep tan and cot.

  52. burhan101
    • 2 years ago
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    why? that's how im taught to do it haha :$

  53. burhan101
    • 2 years ago
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    it would be equal to 1/2

  54. Dido525
    • 2 years ago
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    But since we have a tan and cot on the other side it's natural we want to keep it that way :P . I was taught that way too ^_^ . Sometiems we gotta break the rules.

  55. burhan101
    • 2 years ago
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    ohhh alright, i see what you're saying

  56. Dido525
    • 2 years ago
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    So what do you get? Feel free to do it on paper and take pics.

  57. Skaematik
    • 2 years ago
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    burhan, don't listen to him. You CAN change the right hand side (cot and tan). And sometimes you must. It makes no sense not to change them

  58. Dido525
    • 2 years ago
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    @Skaematik : But his teacher wants him to only change one side.

  59. Dido525
    • 2 years ago
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    It only took 4 steps lol @Skaematik .

  60. burhan101
    • 2 years ago
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  61. Dido525
    • 2 years ago
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    No....

  62. burhan101
    • 2 years ago
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    @Skaematik i know i can but the thing is i have to do it my teacher's method or she takes off marks :(

  63. burhan101
    • 2 years ago
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    @Dido525 oh no :(

  64. burhan101
    • 2 years ago
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    sorry, im SO confused tho

  65. Dido525
    • 2 years ago
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    |dw:1353387439718:dw|

  66. Dido525
    • 2 years ago
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    :) .

  67. Dido525
    • 2 years ago
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    I am SURE you can do the rest :) .

  68. Dido525
    • 2 years ago
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    Expand it out and change the Tan(x) and Cot(x) into Sin's and cos's .

  69. burhan101
    • 2 years ago
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    okay, i will try

  70. burhan101
    • 2 years ago
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    |dw:1353387756754:dw|

  71. burhan101
    • 2 years ago
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    multiply those like that ?

  72. Dido525
    • 2 years ago
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    Yep!

  73. burhan101
    • 2 years ago
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    like that :S

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  74. Dido525
    • 2 years ago
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    Good but leave sin(x)/cos(x) as Tan(x) and the cos(x)/sin(x) as Cot(x) .

  75. burhan101
    • 2 years ago
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    i can't i get marks taken off if i do, my teacher has a checklist that we MUST follow or she takes off marks :P

  76. burhan101
    • 2 years ago
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    okay, i don't know what to do from here on

  77. Dido525
    • 2 years ago
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    I would riot at the teacher TBH.

  78. Dido525
    • 2 years ago
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    Okay then.

  79. burhan101
    • 2 years ago
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    haha trust me me too :P

  80. Dido525
    • 2 years ago
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    We can cancel out a cos(x) from the first fraction and a sin(x) from the other fraction. You notice that?

  81. Dido525
    • 2 years ago
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    You have very neat handwriting Btw.

  82. burhan101
    • 2 years ago
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    Thank-you :)

  83. burhan101
    • 2 years ago
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    Like so :

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  84. Dido525
    • 2 years ago
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    You Cannot do this!!!

  85. burhan101
    • 2 years ago
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    ohh

  86. Dido525
    • 2 years ago
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    |dw:1353388449271:dw| No!!!

  87. burhan101
    • 2 years ago
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    then what do i cancel out . :S

  88. Dido525
    • 2 years ago
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    You can only cancel out terms if they have the same common denominator. You do not have the same common denominator in this case :) .

  89. burhan101
    • 2 years ago
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    oh yeah, wooops

  90. Dido525
    • 2 years ago
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    |dw:1353388530585:dw|

  91. Dido525
    • 2 years ago
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    I KNOW you can solve the rest!

  92. burhan101
    • 2 years ago
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    does it look like this,

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  93. Dido525
    • 2 years ago
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    Yep!

  94. Dido525
    • 2 years ago
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    DO YOU NOTICE SOMETHING YOU CAN CANCEL?!?!!?!

  95. Dido525
    • 2 years ago
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    So rry... I am a bit of a math freak lol.

  96. burhan101
    • 2 years ago
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    i'm afraid not :(

  97. Dido525
    • 2 years ago
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    Look harder!!! We have a 2Sin(x)scos(x) . We can eliminate that!!! We

  98. Dido525
    • 2 years ago
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    Do you see how?!?!?!

  99. burhan101
    • 2 years ago
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    sin^2x ?

  100. Dido525
    • 2 years ago
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    No!!!

  101. burhan101
    • 2 years ago
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    OH i think i see it

  102. burhan101
    • 2 years ago
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    -sinxcosx+2sinxcosx= sinxcosx

  103. Dido525
    • 2 years ago
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    VERY CLOSE!!!! We can get rid of that too!!!

  104. burhan101
    • 2 years ago
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    ohh i see it again haha |dw:1353389264088:dw|

  105. Dido525
    • 2 years ago
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    Yep!!!

  106. burhan101
    • 2 years ago
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    Yaaay ! :D

  107. Dido525
    • 2 years ago
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    So now we have: |dw:1353389317704:dw|

  108. burhan101
    • 2 years ago
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    one ?

  109. burhan101
    • 2 years ago
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    no

  110. burhan101
    • 2 years ago
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    |dw:1353389480538:dw|

  111. Dido525
    • 2 years ago
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    You know sin(x)/cos(x) is tan (x) :P .

  112. burhan101
    • 2 years ago
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    yuppp & cosx/sinx = cot

  113. Dido525
    • 2 years ago
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    GOod!

  114. burhan101
    • 2 years ago
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    |dw:1353389561044:dw|

  115. Dido525
    • 2 years ago
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    Hence proved :) .

  116. burhan101
    • 2 years ago
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    THANKYOU ! i swear only you had the patience to help me for so long ^.^ :)

  117. Dido525
    • 2 years ago
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    I remember I helped someone for 2 hour slol.

  118. burhan101
    • 2 years ago
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    thanksss again :D i would give you a cookie if i could haha

  119. Dido525
    • 2 years ago
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    I swear if the teacher takes marks off you need to protest. All of this is valid.

  120. burhan101
    • 2 years ago
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    I don't think she will because i changed the format to accommodate how she likes to mark !

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