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Express the following complex number in ...

Express the following complex number in the polar form:`(1+i)/(1-i)`

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To express the complex number \(\frac{1+i}{1-i}\) in polar form, we will follow these steps: ### Step 1: Simplify the Complex Number We start with the expression: \[ z = \frac{1+i}{1-i} \] To simplify this, we multiply the numerator and denominator by the conjugate of the denominator, which is \(1+i\): ...
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Find the modulus and principal argument of -2i

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  2. Find the modulus and principal argument of -4.

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  3. Express the following complex number in the polar form:(1+i)/(1-i)

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  4. Express the following complex number in the polar form:(2+6sqrt(3)i)/(...

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  5. Put the complex number (1+7i)/((2-i)^2) in the form r(costheta+i\ sint...

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  6. Find the modulus and argument of the following complex number and conv...

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  7. Find the modulus and argument of the following complex number and conv...

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  8. Find the modulus and argument of the following complex number and conv...

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  9. For any two complex number z1a n d\ z2 prove that: |z1+z2|lt=|z1|+|z2|

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  10. For any two complex number z1a n d\ z2 prove that: |z1-z2|lt=|z1|+|z2|

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  11. For any two complex number z1a n d\ z2 prove that: |z1+z2|geq|z1|-|z2|

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  12. For any two complex number z1a n d\ z2 prove that: |z1-z2|geq|z1|-|z2|

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  13. Find the modulus and argument of the following complex number and henc...

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  14. Find the modulus and argument of the following complex number and henc...

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  15. Find the modulus and argument of the following complex number and henc...

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  16. Find the modulus and argument of the following complex number and henc...

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  17. Find the modulus and argument of the following complex number and henc...

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  18. Find the modulus and argument of the following complex number and henc...

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  19. Find the modulus and argument of the following complex number and henc...

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  20. Find the modulus and argument of the following complex number and henc...

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