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(1-costheta+isintheta)^8=...

`(1-costheta+isintheta)^8`=

A

`256sin^8(theta//2)[cos4theta+isin4theta]`

B

`256cos^8(theta//2)[cos4theta-isin4theta]`

C

`256sin^8(theta//2)[sin4theta-icos4theta]`

D

`256sin^8(theta//2)[cos4theta-isin4theta]`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. If (sinalpha+icosalpha)^4(cos2alpha-isin2alpha)^(-2)=costheta+isinthet...

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  2. The values of A and theta if (1+sin alpha+icosalpha)^8=A(costheta+isin...

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  3. (1-costheta+isintheta)^8=

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  4. (cos75^0+isin75^0)/(cos30^0+isin30^0)=

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  5. If x+1/x=2costheta then x^(10)+(1)/(x^(10))=

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  6. If x satisfies the equation x^2-2xcostheta+1=2costheta,then the value ...

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  7. ((costheta+isintheta)^5(cos3theta-isin3theta)^6)/((cos2theta+isin2thet...

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  8. ((sinpi//8+icospi//8)/(sinpi//8-icospi//8))^(8)

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  9. ((1+sintheta+icostheta)/(1+sintheta-icostheta))^(n)

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  10. If ((sqrt3//2+(1//2)i)/(sqrt3//2-(1//2)i))^(120)=p+iq,then

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  11. If n is a positive integer, then (1+i)^n+(1-i)^n=

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  12. Assertion (A) : (sqrt3+i)^6+(sqrt3-i)^6=-128 Reason (R) : If n is ...

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

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

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

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

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

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

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

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

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