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If sinalpha+sinbeta+singamma=cosalpha+co...

If `sinalpha+sinbeta+singamma=cosalpha+cosbeta+cosgamma=0,` then ` (A) `cos3alpha+cos3beta+cos3gamma=cos3gamma=3cos(alpha+beta+gamma)` (B) `cos 3alpha+cos3beta+cos3gamma=0` (C) `sin3theta+sin3beta+sin3gamma=0` (D) `sin3alpha+sin3beta+sin3gamma= 3sin(alpha+beta+gamma)`

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If sinalpha+sinbeta+singamma=cosalpha+cosbeta+cosgamma=0, then (A) cos3alpha+cos3beta+cos3gamma=3cos(alpha+beta+gamma) (B) cos 3alpha+cos3beta+cos3gamma=0 (C) sin3alpha+sin3beta+sin3gamma=0 (D) sin3alpha+sin3beta+sin3gamma= 3sin(alpha+beta+gamma)

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MAHAVEER PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If x=cos alpha+i sin alpha and y=cos beta+i sin beta,z=cos gamma+i si...

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

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  3. If sinalpha+sinbeta+singamma=cosalpha+cosbeta+cosgamma=0, then (A) co...

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  4. Express the following in the form of a+ib (2+3i)/(2-i)

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  5. Express the following in the form of a+ib (1+i)/(2+3i)

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  6. Express the following in the form of a+ib (2+i)(2-3i)(4-3i)

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  7. Express the following in the form of a+ib (2+3i)/(5-4i)+(2-3i)/(5+4i)

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  8. Find the conjugate of i/(3+5i)

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  9. Find the conjugate of (2+3i)(3-4i)

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  10. Find the conjugate of (3+i)/(2+5i)

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  11. Find the modulus of (3+4i)/(12+5i)

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  12. Find the modulus and amplitude of the following complex numbers: sqrt3...

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  13. Find the modulus and amplitude of the following complex numbers: -4i

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  14. Find the modulus and amplitude of the following complex numbers: 1+isq...

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  15. Find the modulus and amplitude of the following complex numbers: -1-i

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  16. Find the additive and multiplicative inverse of -4+5i.

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  17. If z1=7+3i and z2=-7+3i then find the following: z1z2

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  18. If z1=7+3i and z2=-7+3i then find the following: barz1barz2

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  19. If z1=7+3i and z2=-7+3i then find the following: z1barz2

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  20. If z1=7+3i and z2=-7+3i then find the following: z1/z2

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