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If cosalpha+cosbeta+cosgamma=0 a n d a...

If `cosalpha+cosbeta+cosgamma=0 a n d a l so sinalpha+sinbeta+singamma=0,` then prove that `cos2alpha+cos2beta+cos2gamma` `=sin2alpha+sin2beta+sin2gamma=0` `sin3alpha+sin3beta+sin3gamma=3sin(alpha+beta+gamma)` `cos3alpha+cos3beta+cos3gamma=3cos(alpha+beta+gamma)`

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