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Evaluate: |(cos15°, sin15°), (sin 75°, cos 75°)|

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Expanding the determinant, we get 

cos 15° . cos 75° - sin 15° . sin 75° 

= cos (15° + 75° ) = cos 90° = 0

[since cos (A + B) = cos A. cos B – sinA . sin B]

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