Simplify cos(-( square root of 3)/2)

Problem

cos(−√(,3)/2)

Solution

1. Identify the parity of the cosine function. Since cosine is an even function, cos(−x)=cos(x) for any value x

2. Apply the even function property to the given expression.

cos(−√(,3)/2)=cos(√(,3)/2)

3. Evaluate the cosine of the constant value. Note that √(,3)/2 is approximately 0.866 radians. Since this is not a standard angle in degrees or a simple multiple of π for which the cosine has a rational or radical exact value, the expression is already in its simplest exact form.

Final Answer

cos(−√(,3)/2)=cos(√(,3)/2)

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