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M7MAD

  • 2 years ago

How to get the right side ?

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  1. M7MAD
    • 2 years ago
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  2. goformit100
    • 2 years ago
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    its easy, take inequality in use

  3. lgbasallote
    • 2 years ago
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    there was once a famous quote..."one must go left to turn right"

  4. M7MAD
    • 2 years ago
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    I know how to get the left side but I am having a hard time to get the right one :)

  5. lgbasallote
    • 2 years ago
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    this is proving yes?

  6. M7MAD
    • 2 years ago
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    no , i am trying to solve a fourier series of sawtooth function. and this bn coefficient

  7. lgbasallote
    • 2 years ago
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    hmm interesting

  8. lgbasallote
    • 2 years ago
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    i believe this is @hartnn 's specialty yes?

  9. M7MAD
    • 2 years ago
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    I am new i do not know nobody in here :(

  10. hartnn
    • 2 years ago
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    speciality ? no. M7, what is cos pi = ?

  11. M7MAD
    • 2 years ago
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    just have a look to this example in wikibidia http://en.wikipedia.org/wiki/Fourier_series

  12. hartnn
    • 2 years ago
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    what is cos pi ?

  13. M7MAD
    • 2 years ago
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    cos pi ? it's -1 ..

  14. hartnn
    • 2 years ago
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    and cos 2pi = ?

  15. M7MAD
    • 2 years ago
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    one

  16. hartnn
    • 2 years ago
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    cos 3pi = ?

  17. M7MAD
    • 2 years ago
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    :) .. well what is your point ?

  18. hartnn
    • 2 years ago
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    see the pattern .... cos n*pi = ?

  19. hartnn
    • 2 years ago
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    cos 1pi = -1 cos 2pi = 1 cos 3pi = -1 cos 4pi = 1

  20. M7MAD
    • 2 years ago
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    yeah i see it's 1,-1,1 and so on

  21. hartnn
    • 2 years ago
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    so cos n*pi= ?

  22. M7MAD
    • 2 years ago
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    Under which topic in math can i find such examples ..

  23. hartnn
    • 2 years ago
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    just use generalization : cos n*pi = \(\huge (-1)^n\)

  24. hartnn
    • 2 years ago
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    when i put 1, i get -1, when i put n=2, i get +1 and so o n

  25. M7MAD
    • 2 years ago
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    Awesome

  26. hartnn
    • 2 years ago
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    and -cos (n*pi) = (-1)(-1)^n = ?

  27. hartnn
    • 2 years ago
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    and i think sin n*pi will be easier for you to figure out

  28. M7MAD
    • 2 years ago
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    Hartnn thank you so much, you saved my life :)

  29. hartnn
    • 2 years ago
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    welcome ^_^

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