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Find the product (3)/(2) (cos""(pi)/(3)+...

Find the product `(3)/(2) (cos""(pi)/(3)+i sin""(pi)/(3)). 6(cos""(5pi)/(6)+i sin""(5pi)/(6))` in rectangular form.

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NCERT TAMIL-COMPLEX NUMBERS-EXERCISE 2.9
  1. Find the product (3)/(2) (cos""(pi)/(3)+i sin""(pi)/(3)). 6(cos""(5pi)...

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  2. i^(n) + i^(n+1) + i^(n+2) + i^(n+3) is

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  3. The value of overset(13) underset(i=1)Sigma (i^(n) + i^(n-1)) is

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  4. The area of the triangle formed by the complex numbers z, iz, and z+ i...

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  5. The conjugate of a complex number is (1)/(i-2). Then, the complex numb...

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  6. If z=((sqrt(3)+i)^(3) (3i+4)^(2))/((8+6i)^(2)), then |z| is equal to

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  7. If z is a non zero complex number, such that 2iz^(2)= barz then |Z| is

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  8. If |z-2+i| le 2, then the greatest value of |z| is

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  9. If |z-(3)/(z)|=2, then the least value of |z| is

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  10. If |z|=1, then the value of (1+z)/(1+ bar z) is

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  11. The solution of the equation |z| -z=1+2i is

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  12. If |z(1)| =1, |z(2)|=2, |z(3)|=3 and |9 z(1)z(2)+z(2)z(3)|=12, then th...

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  13. If z is a complex number such that z in C//R and z +(1)/(z) in R, then...

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  14. z(1),z(3) and z(3) are complex numbers such that z(1)+z(2)+z(3)=0 and ...

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  15. If (z-1)/(z+1) is purely imaginary, then |z| is

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  16. If z= x + iy is a complex number such that |z+2|=|z-2|, then the locus...

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  17. The principal argument of (3)/(-1+i) is

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  18. The principal argument of ( sin 40^(@) + I cos 40^(@)) is

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  19. If (1+i) (1+2i) (1+3i)….(1+ni) = x +iy, then 2 cdot 5 cdot 10…. (1+n^(...

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  20. If omega ne 1 is a cubic root of unity and (1+ omega)^(7) = A + B omeg...

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  21. The principal argument of the complex number ((1+ isqrt(3))^(2))/(4i (...

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