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The general value of theta which satisfi...

The general value of `theta` which satisfies the equation `(costheta+isintheta) (cos3theta+isin3theta)...[(cos(2r-1)theta+isin(2r-1)theta)]=1` is

A

`(npi)/(r^2)`

B

`(n-1)pi/r^2`

C

`(2n+1)pi/r^2`

D

`(2rpi)/(n^2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-DEMOIVRE'S THEOREM-EXERCISE -II
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  2. If zk=cos((kpi)/(10))+isin((kpi)/(10)) , then z1z2z3z4 is equal to

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  3. The general value of theta which satisfies the equation (costheta+isin...

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  4. sum(k=1)^6[sin((2kpi)/(7))-icos((2kpi)/(7))]=

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  5. The value of prod(k=1)^6((sin)(2pik)/(7)-(icos)(2pik)/(7)) is

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  6. The value of 1+sum(k=0)^14{(cos)((2k+1)pi)/(15)+(isin)((2k+1)pi)/(15...

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  7. If alpha and beta are the roots of the equation x^2-2x+4=0...

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  11. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then x^(sin(2...

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

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  13. If A+B+C=pi and cosA+cosB+cosC=0=sinA+sinB+sinC then cos3A+cos3B+cos3C...

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  16. The number of common roots of 15th and of 25th roots of unity are

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  17. The common roots of the equation x^(12)-1=0,x^4+x^2+1=0 are

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