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((1+sintheta+icostheta)/(1+sintheta-icos...

`((1+sintheta+icostheta)/(1+sintheta-icostheta))^(n)`

A

`cos((npi)/(2)-ntheta)+isin((npi)/(2)-ntheta)`

B

`cos((npi)/(2)-ntheta)+isin((npi)/(2)+ntheta)`

C

`cos((npi)/(2)+ntheta)+isin((npi)/(2)-ntheta)`

D

`cis(npi-theta)`

Text Solution

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

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

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

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

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

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