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Match the following. {:(Column-I," ...

Match the following.
`{:(Column-I," "Column-II),(I" : "x=costheta+isintheta" then "x^n-(1)/(x^n),"a) "2isin(alpha-beta)),(II" : If " z=costheta+sintheta" then "(z^n-1)/(z^(2n)+1),"b) "2cos(alpha-beta)),(III" : "x=cisalpha","y=cisbeta" then "x/y+y/x=,"c) "itanntheta),(IV " : " x=cisalpha","y=cisbeta" then "x/y-y/x=,"d) "2iSinntheta):}`

A

a,b,c,d

B

b,c,a,d

C

d,a,b,c

D

d,c,b,a

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
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  9. If 'alpha' be the non-real n^(th) roots of unity, then 1+3alpha+5alpha...

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  10. If cos alpha+2cos beta+3cos gamma=sinalpha+2sinbeta+3singamma=0 then s...

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  11. If sin(A+iB)=x+iy then ((x^2)/(sin^2A)-(y^2)/(cos^2A))+((x^2)/(cosh^2B...

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  12. I : sum(k=1)^(6)[sin((2kpi)/(7))-icos((2kpi)/(7))]=i II : sum(r=1)...

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  13. Match the following. {:(Column-I," "Column-II),(I" : "x=costheta...

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  15. I : Value of i^i=e^(-pi/2) II : z=ilog(2+sqrt3) then sinz=2 wh...

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  16. Assertion (A) : (Costheta+iSintheta)^(10)+(Costheta-iSintheta)^(10)=2c...

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  17. The modulus argument form of 1+iTantheta when theta epsilon (pi/2,pi) ...

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  18. If Z=(i^i)^i" where "i=sqrt(-1) then

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  19. If alpha is a non-real and alpha=(1)^(1//5) then the value of 2^(|1+al...

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  20. If (x-1)^4-16=0,then the sum of non-real complex values of x is

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