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Find the principal argument of the complex number `sin(6pi)/5+i(1+cos(6pi)/5)dot`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z1|=|z2|=1, then prove that |z1+z2|= |1/z1+1/z2∣

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  2. If (a x^2+c)y+(a^(prime)x^2+c^(prime) )=0 and x is a rational function...

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  3. Find the principal argument of the complex number sin(6pi)/5+i(1+cos(6...

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  4. For x in (0,1) , prove that i^(2i+3) ln((i^3x^2+2x+i)/(i x^2+2x+i^3))=...

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  5. The sum of the non-real root of (x^2+x-2)(x^2+x-3)=12 is -1 b. 1 c. -...

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  6. If n is a positive integer, prove that |I m(z^n)|lt=n|I m(z)||z|^(n-1....

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  7. The number of roots of the equation sqrt(x-2)(x^2-4x+3)=0 is (A) Thre...

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  8. If z1, z2a n dz3, z4 are two pairs of conjugate complex numbers, then ...

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  9. Prove that following inequalities: |z/(|z|)-1|lt=|a rgz| (ii) |z-1|lt=...

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  10. 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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  11. Find the modulus, argument, and the principal argument of the complex ...

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

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  13. Column I, Column II: possible argument of z=a+i b a b >0 , p. tan^(...

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

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

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

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  17. Column I, Column II (one of the values of z ) z^4-1=0 , p. z=cospi/...

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  18. Let za n dw be two nonzero complex numbers such that |z|=|w|a n d arg...

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

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  20. If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a set of...

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