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Find the modulus, argument, and the prin...

Find the modulus, argument, and the principal argument of the complex numbers. `(i-1)/(i(1-cos((2pi)/5))+sin((2pi)/5)`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then ar...

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  2. If x=1+i is a root of the equation x^3-i x+1-i=0, then the other real ...

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  3. Find the modulus, argument, and the principal argument of the complex ...

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  4. Find the principal argument of the complex number ((1+i)^5(1+sqrt(3i))...

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  5. If the expression x^2+2(a+b+c)x+3(b c+ca+a b) is a perfect square, the...

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  6. Find the point of intersection of the curves a r g(z-3i)=(3pi)/4 and a...

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  7. The curve y=(lambda+1)x^2+2 intersects the curve y=lambdax+3 in exactl...

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  8. if z and w are two non-zero complex numbers such that absz=absw and ar...

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  9. The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x...

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  10. If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a se...

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  11. If one vertex of the triangle having maximum area that can be inscribe...

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  12. The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i...

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  13. If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots an...

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  14. Solve the equation 3^(x^2-x)+4^(x^2-x)=25.

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  15. If t and c are two complex numbers such that |t|!=|c|,|t|=1a n dz=(a t...

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  16. Consider the circle |z|=r in the Argand plane, which is in fact the in...

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  17. Solve the equation 12x^4-56 x^3+89 x^2-56 x+12=0.

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  18. If z is a complex number such that -pi//2lt=a r g zlt=pi//2, then whi...

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  19. P is a point on the argand diagram on the circle with OP as diameter t...

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  20. Solve the equation (x+2)(x+3)(x+8)(x+12)=4x^2

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