Although the final answers from the half angle expressions are different than their difference formula counterparts, they are the same value. If you plug in the trig functions in a calculator for 75 degrees, you will get about .966 for sine, about .259 for cosine, and about 3.732 for tangent. When I plug in the expressions carefully and correctly, I get the exact same answers. If you check and get different answers, are you sure your calculator is in degrees and not in radians?
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