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anonymous

  • one year ago

Express the complex number in trigonometric form. -3 + 3 square root of threei

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  1. anonymous
    • one year ago
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    @ganeshie8

  2. ganeshie8
    • one year ago
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    \(\large -3+3\sqrt{3}~i\)

  3. anonymous
    • one year ago
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    yeah

  4. ganeshie8
    • one year ago
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    which quadrant does it lie in ?

  5. anonymous
    • one year ago
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    2

  6. ganeshie8
    • one year ago
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    good, so we know that the angle must be something in between 90 and 180

  7. anonymous
    • one year ago
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    okay yes

  8. ganeshie8
    • one year ago
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    can you find below angle ? |dw:1439749188526:dw|

  9. anonymous
    • one year ago
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    using soh cah toa?

  10. ganeshie8
    • one year ago
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    you may use a trig ratio : \[\tan(\theta) = \dfrac{3\sqrt{3}}{3}\]

  11. anonymous
    • one year ago
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    60 degrees

  12. anonymous
    • one year ago
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    @ganeshie8

  13. anonymous
    • one year ago
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    @imqwerty

  14. Loser66
    • one year ago
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    @ganeshie8 he disappears. Can I raise my hand?? hahaha...

  15. ganeshie8
    • one year ago
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    sure :) im on phone..

  16. ParthKohli
    • one year ago
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    I'm disappointed. The question could have been made a tad more interesting by making it \(-3 + 3 \sqrt {3i} \)

  17. anonymous
    • one year ago
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    that is the question parthkohli

  18. anonymous
    • one year ago
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    @Loser66 yeah you can help!

  19. ganeshie8
    • one year ago
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    |dw:1439752753216:dw|

  20. anonymous
    • one year ago
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    135

  21. ganeshie8
    • one year ago
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    how ?

  22. anonymous
    • one year ago
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    120? add 90 and 30

  23. ganeshie8
    • one year ago
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    120 is right

  24. ganeshie8
    • one year ago
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    so the argument(angle) of complex number is 120

  25. ganeshie8
    • one year ago
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    can u find the length ?

  26. anonymous
    • one year ago
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    from where?

  27. ganeshie8
    • one year ago
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    length of complex number

  28. ganeshie8
    • one year ago
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    the red part shown in previous diagrams

  29. anonymous
    • one year ago
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    wait how do I find the length?

  30. ganeshie8
    • one year ago
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    |dw:1439753063886:dw|

  31. ganeshie8
    • one year ago
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    use pythagoras theorem

  32. ganeshie8
    • one year ago
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    length = \(\large \sqrt{3^2 + (3\sqrt{3})^2} = ?\)

  33. anonymous
    • one year ago
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    4.3