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If x=cosalpha+isinalpha,y=cosbeta+isinbe...

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

A

`2sin(alpha+beta)`

B

`2sin(alpha-beta)`

C

`2cos (alpha+beta)`

D

`2cos (alpha-beta)`

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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