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amruta1997

  • 3 years ago

how to find value of sin 18.......plz explain in detail

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  1. Rezz5
    • 3 years ago
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    without the use of the calculator?

  2. amruta1997
    • 3 years ago
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    ya

  3. amruta1997
    • 3 years ago
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    how 2 derivate it

  4. Rezz5
    • 3 years ago
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    taylor expansion can estimate it for you

  5. amruta1997
    • 3 years ago
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    i did not get what u want to say

  6. amruta1997
    • 3 years ago
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    sauravshakya u may try

  7. amruta1997
    • 3 years ago
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    who is taylor

  8. Rezz5
    • 3 years ago
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    Taylor Expansion is the way of estimating and function sinx is \[x-\frac{ x ^{3} }{ 6 }+\frac{ x ^{5} }{ 120 } -...+...\]

  9. sauravshakya
    • 3 years ago
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    5*18=90 sin(5*18)=sin90 Let x=18 then, sin(5x)=sin90

  10. amruta1997
    • 3 years ago
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    i think u r wrog somewhere

  11. sauravshakya
    • 3 years ago
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    U can proceed from here but this will be too long but it will give u exact value.

  12. amruta1997
    • 3 years ago
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    we dont have a formula for sin 5 thete

  13. sauravshakya
    • 3 years ago
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    From sin(5x)=1 u need to find the value of sinx

  14. amruta1997
    • 3 years ago
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    i mean to say we dont have its expansion

  15. sauravshakya
    • 3 years ago
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    sin(5x) = sin(2x + 3x) = sin2x * cos3x + cos2x * sin3x

  16. amruta1997
    • 3 years ago
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    hmmmmm that wd be 22 long

  17. gohangoku58
    • 3 years ago
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    5x= 90 2x+3x=90 3x=90-2x sin 3x= cos 2x now put formula of sin 3x and cos 2x in terms of sin x only.

  18. amruta1997
    • 3 years ago
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    hmmmmmm this wd b an easy one

  19. Rezz5
    • 3 years ago
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    18=Pi/10 sin(Pi/10)=0.3090169944 F[x]\[=x-\frac{ x ^{3} }{ 6 }+\frac{ x ^{5} }{ 120 }-... \] f[Pi/10]==0.3090170542 you decide

  20. sauravshakya
    • 3 years ago
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    Great!

  21. amruta1997
    • 3 years ago
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    but when we will solve the quadrtic equation then we will get two values of sin theta

  22. amruta1997
    • 3 years ago
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    which one is great

  23. sauravshakya
    • 3 years ago
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    @gohangoku58 's one

  24. amruta1997
    • 3 years ago
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    hmmmmmmm

  25. sauravshakya
    • 3 years ago
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    because that gives exact value not approximate

  26. amruta1997
    • 3 years ago
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    hmmmmm but two values

  27. amruta1997
    • 3 years ago
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    which one to select

  28. amruta1997
    • 3 years ago
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    u plz try it once

  29. sauravshakya
    • 3 years ago
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    well, sin 18 lies in first quadrant so take positive value

  30. amruta1997
    • 3 years ago
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    hmmmmm

  31. amruta1997
    • 3 years ago
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    good

  32. gohangoku58
    • 3 years ago
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    u'll get a cubic equation, with one root = 0 (can't be, rejected) and 2 other roots.....from which u select one with positive value..... like saura said...

  33. amruta1997
    • 3 years ago
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    i failed 2 use common sence

  34. amruta1997
    • 3 years ago
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    no not a cubic but a quadratic u try it

  35. amruta1997
    • 3 years ago
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    i tried it jjust now

  36. gohangoku58
    • 3 years ago
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    sin 3x= ?

  37. amruta1997
    • 3 years ago
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    3sinx-4 sin cube x

  38. gohangoku58
    • 3 years ago
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    3sinx-4 sin cube x<----cubic

  39. amruta1997
    • 3 years ago
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    no but sin 2 x is also there

  40. gohangoku58
    • 3 years ago
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    *cos 2x

  41. amruta1997
    • 3 years ago
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    ya

  42. amruta1997
    • 3 years ago
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    1-2sin square x

  43. amruta1997
    • 3 years ago
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    then we can take sin in common

  44. sauravshakya
    • 3 years ago
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    no u cant 1 is there

  45. amruta1997
    • 3 years ago
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    r u there on facebook

  46. gohangoku58
    • 3 years ago
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    who ?

  47. amruta1997
    • 3 years ago
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    sorry for the personal Q

  48. gohangoku58
    • 3 years ago
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    we both are there...

  49. amruta1997
    • 3 years ago
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    all of u

  50. sauravshakya
    • 3 years ago
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    |dw:1353245978780:dw|

  51. amruta1997
    • 3 years ago
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    may i know ur id's

  52. amruta1997
    • 3 years ago
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    we can contact there also

  53. amruta1997
    • 3 years ago
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    saura i will tell u wait

  54. gohangoku58
    • 3 years ago
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    what say saura ?

  55. amruta1997
    • 3 years ago
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    short form

  56. gohangoku58
    • 3 years ago
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    4 x^3 - 2 x^2 - 3x + 1 = 0 one root is x=1 which can't be.... i made a typo earlier and wrote that one root is 0

  57. amruta1997
    • 3 years ago
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    one moment plzz

  58. amruta1997
    • 3 years ago
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    2 theta=90-3 theta

  59. amruta1997
    • 3 years ago
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    sin 2 theta = cos 3 theta.................sin (90-theta)=costheta

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