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If x=cisalpha,y=cisbeta" then " x^3y^4-(...

If `x=cisalpha,y=cisbeta" then " x^3y^4-(1)/(x^3y^4)=`

A

`2icos(3alpha+4beta)`

B

`2icos (3alpha-4beta)`

C

`2isin(3alpha+4beta)`

D

`2isin(3alpha-4beta)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. One of the value of [cos(pi//6)-isin(pi//6)]^(11//2)/[cos(pi//6)+isin(...

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  2. If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "(x)/(y)+(y)/(x)

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  3. If x=cisalpha,y=cisbeta" then " x^3y^4-(1)/(x^3y^4)=

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  4. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

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  5. cis(pi)/(10).cis(2pi)/(10).cis(3pi)/(10).cis(4pi)/(10)=

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  6. If xn=cos(pi/2^n)+isin(pi/2^n), then x1 x2 x3......infinity

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  7. If x(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4^(n))), then x(1), x(2), x(3)....

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  8. The continued product of the four values of (1-isqrt3)^(3//4) is

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  9. The continued product of all values of root(5)(4) is

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  10. sum(r=1)^(8)[sin(2pir//9)+icos(2pir//9)]=

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  11. The values of sum(m=1)^(10)[sin(2pim//11)-icos(2pim//11)] is

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  12. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin3alph...

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  13. If cos alpha+cos beta+cos gamma=0 & sin alpha +sin beta +sin gamma=0. ...

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  14. If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...

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  15. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...

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  16. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

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  17. If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...

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  18. If a=cisalpha,b=cisbeta,c=cisgamma, and a/b+b/c+c/a-1=0 then cos(alph...

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  19. If A+B+C= pi and cos A+cos B+cos C=0=sin A+sin B+sin C , then sin 3A+...

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  20. The cube roots of 1+I are

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