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Itel

  • 2 years ago

Express the complex number in trigonometric form. -4

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  1. frx
    • 2 years ago
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    So, do you know how to find the the angle?

  2. frx
    • 2 years ago
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    Try to think of the unitcircle

  3. frx
    • 2 years ago
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    -4 is simply just a scaled-up -1 so that means that the angle is what?

  4. Itel
    • 2 years ago
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    180 degrees?

  5. Itel
    • 2 years ago
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    @frx

  6. frx
    • 2 years ago
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    Exactly

  7. frx
    • 2 years ago
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    Or pi since you're looking for the polarform

  8. Itel
    • 2 years ago
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    Thanks. These are the possible answers: 4(cos 270° + i sin 270°) 4(cos 90° + i sin 90°) 4(cos 0° + i sin 0°) 4(cos 180° + i sin 180°) So how do I find out which one of those is the answer if it is pi or 180 degrees? thanks again

  9. frx
    • 2 years ago
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    \[|z|=\sqrt{4^{2}}=4\] \[\arg(z)= \pi \] \[4(\cos \pi+isin \pi)\]

  10. frx
    • 2 years ago
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    So since your alternatives are in degrees and not radians you know it's 180 degrees.

  11. frx
    • 2 years ago
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    So it's the last one of your options

  12. Itel
    • 2 years ago
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    Oh i see what you did. Thank you so much man. I really appreciate your help. Very thorough explanation.

  13. frx
    • 2 years ago
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    No problem :)

  14. frx
    • 2 years ago
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    If you have any questions just send a pm

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