prove that |(sin alpha,sin beta,sin gam...

prove that `|(sin alpha,sin beta,sin gamma),(cos alpha,cos beta,cos gamma),(sin 2alpha,sin 2beta,sin 2gamma)|`=`4sin (1/2)(beta-gamma)sin(1/2)(gamma-alpha)sin(1/2)(alpha-beta)xx{sin(beta+gamma)+sin(gamma+alpha)+sin(alpha+beta)}`.

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prove that `|(sin alpha,sin beta,sin gamma),(cos alpha,cos beta,cos gamma),(sin 2alpha,sin 2beta,sin 2gamma)|`=`4sin (1/2)(beta-gamma)*sin(1/2)(gamma-alpha)*sin(1/2)(alpha-beta)xx{sin(beta+gamma)+sin(gamma+alpha)+sin(alpha+beta)}`.

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prove that `|(sin alpha,sin beta,sin gamma),(cos alpha,cos beta,cos gamma),(sin 2alpha,sin 2beta,sin 2gamma)|`=`4sin (1/2)(beta-gamma)sin(1/2)(gamma-alpha)sin(1/2)(alpha-beta)xx{sin(beta+gamma)+sin(gamma+alpha)+sin(alpha+beta)}`.