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Find the modulus and argument of the fol...

Find the modulus and argument of the following complex number and convert them in polar form: `(i-1)/[cos(pi/3)+isin(pi/3)]`

Text Solution

Verified by Experts

`z=(-16)//(1+isqrt(3))X(1-isqrt3)/(1-sqrt3)`
`z=(-16+i16sqrt3)/(1-(i sqrt3)^3)`
`z=(-16+i16sqrt(3)/(1-3i^2)`
We know that `i^2=-1`
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
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  2. Find the modulus and argument of the following complex number and conv...

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

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

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

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

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

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

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

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

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

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

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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. Write (i^(25))^3 in polar form.

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  17. Write the values of the square root of idot

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  18. Write the values of the square root of -i.

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  19. If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2.

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  20. If pi<theta<2pi\ a n d\ z=1+costheta+isintheta , then write the value ...

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