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The value of (tan(i*log((a-ib)/(a+ib))))...

The value of `(tan(i*log((a-ib)/(a+ib))))` is

A

`(ab)/(a^(2)b^(2))`

B

`(2ab)/(a^(2) - b^(2))`

C

`(ab)/(a^(2) - b^(2))`

D

`(2ab)/(a^(2) + b^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
  1. If zr=cos(pi/(3r))+isin(pi/(3r)),r=1,2,3, , prove that z1z2z3 zoo=idot

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  2. If z=ilog(e)(2-sqrt(3)),"where"i=sqrt(-1) then the cos z is equal to

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  3. The value of (tan(i*log((a-ib)/(a+ib)))) is

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  4. If x satisfies the equation x^(2) - 2 x cos theta + 1 = 0 then the ...

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  5. If 2 cos theta = x + (1)/( x) , 2 cos phi = y + (1)/( y) then

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  6. The equation whose roots are nth power of the roots of the equations...

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  7. If x^(2) - 2 x cos theta + 1 = 0 " then " x^(2 n) - 2 x ^(n) cos n th...

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  8. The following in the form A + i B ( cos 2 theta + i sin 2 theta )^(-...

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  9. If x = cos theta + i sin theta , y = cos phi + i sin phi z = cos Ps...

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  10. If a = cos alpha + i sin alpha , b = cos beta + i sin beta , " then ...

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  11. If cos A + cos B + cos C = 0, sin A + sin B + sin C = 0 and A + B +...

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  12. If cos A + cos B + cos C = 0 = sin A + sin B + sin C , then

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  13. The general value of x which satisfies the equation ( cos x + i sin ...

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  14. Find the theta such that (3+2i sin theta)/(1-2 isin theta) is (a) re...

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  15. If ( tan theta - i [ sin ( theta // 2) + cos ( theta // 2) ])/( 1 + 2...

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  16. Let f(p) ( beta) = ( cos "" (beta)/( p^(2)) + i sin "" (beta)/( p^(2)...

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  17. The continued product of the four values of [ cos (pi/ 3) + i sin (...

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  18. If a = cos alpha + i sin alpha, b = cos beta + i sin beta , " then " ...

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  19. If alpha , beta be the roots of the the equation x^(2) - 2 x + 2 =...

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  20. The complex number z has argZ = theta ,0 lt theta lt (pi)/(2) and sat...

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