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|(sin alpha, cos alpha, cos(alpha+delta)...

`|(sin alpha, cos alpha, cos(alpha+delta)) ,(sin beta, cos beta , cos(beta +delta)),(sin gamma, cos gamma, cos (gamma+delta))|=0`

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|(sin alpha, cos alpha, sin (alpha+delta)),(sin beta, cos beta, sin(beta+delta)),(sin gamma, cos gamma, sin (gamma+delta))|=

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Without expanding evaluate the determinant |sin alpha cos alpha sin(alpha+delta)sin beta cos beta sin(beta+delta)sin gamma cos gamma sin(gamma+delta)|

Without expanding evaluate the determinant det[[sin alpha,cos alpha sin(alpha+delta)sin beta,cos beta,sin(beta+delta)sin gamma,cos gamma,sin(gamma+delta)]]