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(cos""(pi)/(6)+isin""(pi)/(6))^(1//2)+(c...

`(cos""(pi)/(6)+isin""(pi)/(6))^(1//2)+(cos""(pi)/(6)-isin""(pi)/(6))^(11//2)`

A

1

B

-1

C

0

D

2

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. Assertion (A) : (sqrt3+i)^6+(sqrt3-i)^6=-128 Reason (R) : If n is ...

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  2. (sqrt3+i)^7+(sqrt3-i)^7=

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  3. (cos""(pi)/(6)+isin""(pi)/(6))^(1//2)+(cos""(pi)/(6)-isin""(pi)/(6))^(...

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  4. One value of (1+isqrt3)^(3//4)+(1-isqrt3)^(3//4) is equal to

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  5. One of the value of [cos(pi//6)-isin(pi//6)]^(11//2)/[cos(pi//6)+isin(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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