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

If `cos alpha+cos beta+cos gamma=0` & `sin alpha +sin beta +sin gamma=0`. Then Prove that
`sin2alpha+sin2beta+sin2gamma=0`

A

2

B

1

C

`1//2`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
  1. The values of sum(m=1)^(10)[sin(2pim//11)-icos(2pim//11)] is

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

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

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

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

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

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

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

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  9. 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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  10. The cube roots of 1+I are

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  11. The values of (sqrt3+i)^(1//4) are

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  12. The values of (1+i)^(2//3) are

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  13. All the values of (-i)^(1//3) are given by

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  14. If x^4-1=0 then x=

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  15. Solve x^9-x^5+x^4-1=0

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  16. 1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...

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  17. If 1,alpha,alpha^2,…...,alpha^(n-1) are the n^(th) roots of unity, the...

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  18. A : (1+i)^(6)+(1-i)^(6)=0 R : If n is a positive integer then (1+i)^...

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  19. Assertion (A): If A, B, C are the angles of a triangle such that cos A...

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  20. IF omega represents a complex cube root of unity, then (1+1/omega)(1+1...

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