Question: If cos alpha + cos Beta + cos gama = 0 = sin alpha + sin Beta + sin gama, show that sin2 alpha

If cos alpha + cos Beta + cos gama = 0 = sin alpha + sin Beta + sin gama, show that sin2 alpha + sin2 beta + sin2 gama = cos2 a + cos2 B + cos2 y = 3/2.
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