Question: Without expanding, evaluate the determinant |sin(alpha) cos(alpha) sin(alpha+phi), sin(beta) cos(beta) sin(beta+phi), sin(gamma) cos(gamma) sin(gamma+phi)|.

Without expanding, evaluate the determinant |sin(alpha) cos(alpha) sin(alpha+phi), sin(beta) cos(beta) sin(beta+phi), sin(gamma) cos(gamma) sin(gamma+phi)|.
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