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anonymous

  • one year ago

Express the complex number in trigonometric form. -2 + 2square root of threei

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  1. anonymous
    • one year ago
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    @mathmath333

  2. anonymous
    • one year ago
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    @dan815

  3. anonymous
    • one year ago
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    SOMEONE HELP

  4. amistre64
    • one year ago
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    what 2 things do we need to determine for the trig form?

  5. anonymous
    • one year ago
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    the absolute value? @amistre64

  6. amistre64
    • one year ago
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    hmm, i was thinking a radius and an angle

  7. anonymous
    • one year ago
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    oh sorry, I have no idea how to do this

  8. amistre64
    • one year ago
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    spose we plot some point (x,y) define as some complex number: x + iy |dw:1440473957824:dw| we can then determine the distance from the origin, and the angle the ray makes with the x axis

  9. amistre64
    • one year ago
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    r = sqrt(x^2+y^2) a = tan^(-1) (y/x)

  10. anonymous
    • one year ago
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    okay so I plug the numbers into that formula?

  11. amistre64
    • one year ago
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    what else would you do with a formula? trig defines x = r cos(a) and y=r sin(a) therefore our trig form of a complex number is: x + iy to r cos(a) + r i sin(a) or simplified to: r (cos(a) + i sin(a))

  12. anonymous
    • one year ago
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    4(cos5pi/6+isin5pi/6)?

  13. anonymous
    • one year ago
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    ?

  14. amistre64
    • one year ago
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    \[\Large \underbrace{-2}_x+i~\underbrace{2\sqrt3}_y\] \[r=\sqrt{x^2+y^2}=\sqrt{4+12}=4~;~is~fine\] \[\alpha=tan^{-1}(-\frac{1}{\sqrt3})=30^o~(Q2)\]

  15. amistre64
    • one year ago
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    yeah, looks good to me in my head lol

  16. amistre64
    • one year ago
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    |dw:1440474530757:dw|

  17. anonymous
    • one year ago
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    Okay, thank you!

  18. amistre64
    • one year ago
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    youre welcome

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