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anonymous

  • one year ago

Express the complex number in trigonometric form. -6i

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  1. anonymous
    • one year ago
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  2. hartnn
    • one year ago
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    to convert it to trigonometric form, you need to find r and \(\theta\) bring 6i in the form of x+iy then \(r = \sqrt{x^2+y^2}\) and \(\theta = \arctan(y/x)\)

  3. hartnn
    • one year ago
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    then your trigonometric form will be \(r (\cos \theta + i \sin \theta)\)

  4. hartnn
    • one year ago
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    ** -6i

  5. anonymous
    • one year ago
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    6(cos 90 + i sin 90)?

  6. hartnn
    • one year ago
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    sure?

  7. hartnn
    • one year ago
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    lets verify 6 cos 90 = 6*0 = 0 6 sin 90 = 6 so its actually +6i but we need -6i

  8. anonymous
    • one year ago
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    oh!!! 6(cos 180 + i sin 180)

  9. hartnn
    • one year ago
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    not actually... cos 180 is not 0.. we just need a negative sign in between, so we can take the angle as -90 and whats the positive angle representation of -90 ??? hint: add 360

  10. anonymous
    • one year ago
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    270...

  11. hartnn
    • one year ago
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    yep

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