Simplify cos(x/2)

Problem

cos(x/2)

Solution

1. Identify the expression as a half-angle trigonometric function.

2. Apply the half-angle formula for cosine, which relates cos(x/2) to cos(x)

3. Determine the sign based on the quadrant in which the angle x/2 lies, represented by the ± symbol.

Final Answer

cos(x/2)=±√(,(1+cos(x))/2)

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